100,000,000

From Wikipedia, the free encyclopedia
100000000
List of numbersIntegers
100 101 102 103 104 105 106 107 108 109
CardinalOne hundred million
Ordinal100000000th
(one hundred millionth)
Factorization28 × 58
Greek numeral
Roman numeralC
Binary1011111010111100001000000002
Ternary202220111120122013
Octal5753604008
Duodecimal295A645412
Hexadecimal5F5E10016

100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001.

In scientific notation, it is written as 108.

East Asian languages treat 100,000,000 as a counting unit, significant as the square of a myriad, also a counting unit. In Chinese, Korean, and Japanese respectively it is yi (simplified Chinese: 亿; traditional Chinese: ; pinyin: ) (or Chinese: 萬萬; pinyin: wànwàn in ancient texts), eok (억/億) and oku (). These languages do not have single words for a thousand to the second, third, fifth powers, etc.

100,000,000 is also the fourth power of 100 and also the square of 10000.

Selected 9-digit numbers (100,000,001–999,999,999)[]

100,000,001 to 199,999,999[]

  • 100,000,007 – smallest nine digit prime[1]
  • 100,005,153 – smallest triangular number with 9 digits and the 14,142nd triangular number
  • 100,020,001 = 100012, palindromic square
  • 100,544,625 = 4653, the smallest 9-digit cube
  • 102,030,201 = 101012, palindromic square
  • 102,334,155Fibonacci number
  • 102,400,000 = 405
  • 104,060,401 = 102012 = 1014, palindromic square
  • 105,413,504 = 147
  • 107,890,609Wedderburn-Etherington number[2]
  • 111,111,111repunit, square root of 12345678987654321
  • 111,111,113Chen prime, Sophie Germain prime, cousin prime.
  • 113,379,904 = 106482 = 4843 = 226
  • 115,856,201 = 415
  • 121,242,121 = 110112, palindromic square
  • 123,454,321 = 111112, palindromic square
  • 123,456,789 – smallest zeroless base 10 pandigital number
  • 125,686,521 = 112112, palindromic square
  • 126,491,971 – Leonardo prime
  • 129,140,163 = 317
  • 129,145,076 – Leyland number
  • 129,644,790Catalan number[3]
  • 130,691,232 = 425
  • 134,217,728 = 5123 = 89 = 227
  • 134,218,457 – Leyland number
  • 139,854,276 = 118262, the smallest zeroless base 10 pandigital square
  • 142,547,559Motzkin number[4]
  • 147,008,443 = 435
  • 148,035,889 = 121672 = 5293 = 236
  • 164,916,224 = 445
  • 165,580,141Fibonacci number
  • 167,444,795cyclic number in base 6
  • 170,859,375 = 157
  • 177,264,449 – Leyland number
  • 179,424,673 – 10,000,000th prime number
  • 184,528,125 = 455
  • 190,899,322Bell number[5]
  • 191,102,976 = 138242 = 5763 = 246

200,000,000 to 299,999,999[]

  • 205,962,976 = 465
  • 212,890,625 – 1-automorphic number[6]
  • 214,358,881 = 146412 = 1214 = 118
  • 222,222,222repdigit
  • 222,222,227safe prime
  • 223,092,870 – the product of the first nine prime numbers, thus the ninth primorial
  • 225,058,681Pell number[7]
  • 225,331,713self-descriptive number in base 9
  • 229,345,007 = 475
  • 232,792,560superior highly composite number;[8] colossally abundant number;[9] the smallest number divisible by all the numbers 1 through 22
  • 244,140,625 = 156252 = 1253 = 256 = 512
  • 244,389,457 – Leyland number
  • 253,450,711 – Wedderburn-Etherington prime[2]
  • 254,803,968 = 485
  • 267,914,296Fibonacci number
  • 268,435,456 = 163842 = 1284 = 167 = 414 = 228
  • 268,436,240 – Leyland number
  • 268,473,872 – Leyland number
  • 272,400,600 – the number of terms of the harmonic series required to pass 20
  • 275,305,224 – the number of magic squares of order 5, excluding rotations and reflections
  • 282,475,249 = 168072 = 495 = 710
  • 292,475,249 – Leyland number

300,000,000 to 399,999,999[]

  • 308,915,776 = 175762 = 6763 = 266
  • 312,500,000 = 505
  • 321,534,781 – Markov prime
  • 331,160,281 – Leonardo prime
  • 333,333,333repdigit
  • 345,025,251 = 515
  • 364,568,617 – Leyland number
  • 367,567,200colossally abundant number,[10] superior highly composite number[11]
  • 380,204,032 = 525
  • 381,654,729 – the only polydivisible number that is also a zeroless pandigital number
  • 387,420,489 = 196832 = 7293 = 276 = 99 = 318 and in tetration notation 29
  • 387,426,321 – Leyland number

400,000,000 to 499,999,999[]

  • 400,080,004 = 200022, palindromic square
  • 400,763,223 – Motzkin number[4]
  • 404,090,404 = 201022, palindromic square
  • 405,071,317 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
  • 410,338,673 = 177
  • 418,195,493 = 535
  • 429,981,696 = 207362 = 1444 = 128
  • 433,494,437Fibonacci prime, Markov prime
  • 442,386,619alternating factorial[12]
  • 444,444,444repdigit
  • 459,165,024 = 545
  • 477,638,700 – Catalan number[3]
  • 479,001,599factorial prime[13]
  • 479,001,600 = 12!
  • 481,890,304 = 219522 = 7843 = 286

500,000,000 to 599,999,999[]

  • 503,284,375 = 555
  • 522,808,225 = 228652, palindromic square
  • 535,828,591 – Leonardo prime
  • 536,870,911 – third composite Mersenne number with a prime exponent
  • 536,870,912 = 229
  • 536,871,753 – Leyland number
  • 543,339,720 – Pell number[7]
  • 550,731,776 = 565
  • 554,999,445 – a Kaprekar constant for digit length 9 in base 10
  • 555,555,555repdigit
  • 594,823,321 = 243892 = 8413 = 296
  • 596,572,387 – Wedderburn-Etherington prime[2]

600,000,000 to 699,999,999[]

  • 601,692,057 = 575
  • 612,220,032 = 187
  • 617,323,716 = 248462, palindromic square
  • 644,972,544 = 8643, 3-smooth number
  • 656,356,768 = 585
  • 666,666,666repdigit

700,000,000 to 799,999,999[]

  • 701,408,733Fibonacci number
  • 714,924,299 = 595
  • 715,827,883Wagstaff prime,[14] Jacobsthal prime
  • 729,000,000 = 270002 = 9003 = 306
  • 774,840,978 – Leyland number
  • 777,600,000 = 605
  • 777,777,777repdigit
  • 780,291,637 – Markov prime
  • 787,109,376– 1-automorphic number[6]

800,000,000 to 899,999,999[]

  • 815,730,721 = 285612 = 1694 = 138
  • 844,596,301 = 615
  • 887,503,681 = 297912 = 9613 = 316
  • 888,888,888repdigit
  • 893,554,688 – 2-automorphic number[15]
  • 893,871,739 = 197

900,000,000 to 999,999,999[]

  • 906,150,257 – smallest counterexample to the Polya conjecture
  • 916,132,832 = 625
  • 923,187,456 = 303842, the largest zeroless pandigital square
  • 942,060,249 = 306932, palindromic square
  • 987,654,321 – largest zeroless pandigital number
  • 992,436,543 = 635
  • 997,002,999 = 9993, the largest 9-digit cube
  • 999,950,884 = 316222, the largest 9-digit square
  • 999,961,560 – highest triangular number with 9 digits and the 44,720th triangular number
  • 999,999,937 – largest 9-digit prime number
  • 999,999,999repdigit

References[]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A003617 (Smallest n-digit prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 7 September 2017.
  2. ^ Jump up to: a b c Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  3. ^ Jump up to: a b Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  4. ^ Jump up to: a b Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  5. ^ "Sloane's A000110 : Bell or exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  6. ^ Jump up to: a b Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-04-06.
  7. ^ Jump up to: a b Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  8. ^ "Sloane's A002201 : Superior highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  9. ^ "Sloane's A004490 : Colossally abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  10. ^ "Sloane's A004490 : Colossally abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  11. ^ "Sloane's A002201 : Superior highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  12. ^ "Sloane's A005165 : Alternating factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  13. ^ "Sloane's A088054 : Factorial primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  14. ^ "Sloane's A000979 : Wagstaff primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
  15. ^ Sloane, N. J. A. (ed.). "Sequence A030984 (2-automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-09-01.
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