113 (number)

From Wikipedia, the free encyclopedia
← 112 113 114 →
110 111 112 113 114 115 116 117 118 119
List of numbersIntegers
0 100 200 300 400 500 600 700 800 900
Cardinalone hundred thirteen
Ordinal113th
(one hundred thirteenth)
Factorizationprime
Prime30th
Divisors1, 113
Greek numeralΡΙΓ´
Roman numeralCXIII
Binary11100012
Ternary110123
Octal1618
Duodecimal9512
Hexadecimal7116

113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.

Mathematics[]

  • 113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime,[1] a Chen prime[2] and a Proth prime as it is a prime number of the form 7 × 24 + 1. 113 is also an Eisenstein prime with no imaginary part and real part of the form . In base 10, this prime is a primeval number,[3] and a permutable prime with 131 and 311.
  • 113 is a highly cototient number[4] and a centered square number.[5]
  • 355/113 approximates π to six decimal places, with an error of less than 1/1133. This means that 113/355 approximates the reciprocal of π.
  • 113 is the smallest positive integer that cannot be represented in the Four fours problem using standard rules. It can be solved using the gamma function.[clarification needed][dubious ]

Religion[]

  • 113, the number of surah al-Falaq in the Qur'an
  • Psalms 113–118 constitute the Hallel, which is recited on the three great feasts: Passover, Weeks, and Tabernacles

Science[]

  • 113, the atomic number of the element nihonium
  • Cadmium-113m, a radioisotope and nuclear isomer with a halflife of 14.1 years

Telephony[]

113 is:

  • The fire emergency telephone number in Indonesia
  • The intelligence agency telephone number in Iran
  • The medical emergency telephone number in Latvia and Norway
  • The police emergency telephone number in Italy, Luxembourg, Slovenia, and Vietnam
  • The time telephone number in Argentina
  • The suicide line in the Netherlands

Other uses[]

  • 113 (band), a French hip hop group
  • 113, the port number of the IDENT Internet protocol that helps identify the user of a particular TCP connection
  • 113, in enduro, is regarded as an unlucky number to be given to a race entrant and is colloquially known as a "blind pew"

See also[]

References[]

  1. ^ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  2. ^ "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  3. ^ "Sloane's A072857 : Primeval numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  4. ^ "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
  5. ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
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