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113

 
Wikipedia: 113 (number)
113
Cardinal one hundred [and] thirteen
Ordinal 113th
(one hundred [and] thirteenth)
Factorization prime
Prime 30th
Divisors 1, 113
Roman numeral CXIII
Binary 11100012
Octal 1618
Duodecimal 9512
Hexadecimal 7116

113 is the natural number following 112 and preceding 114.

Contents

In mathematics

One hundred [and] thirteen is the 30th prime number, following 109 and preceding 127, a Sophie Germain prime, a Chen prime and a Proth prime as it is a prime number of the form 7 × 24 + 1. 113 is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. In base 10, this prime is a primeval number, and a permutable prime with 131 and 311.

It is a highly cototient number and a centered square number. 355/113 approximates pi to seven decimal places, with an error of less than 1/1133.

In telephony

In Enduro

It is a 'Blind Pew Prime', awarded to member of enduro clubs who develop a reputation - or a skill - for getting enduro events cancelled simply by virtue of them entering a particular event, thus earning a reputation of being unlucky. This phenomenon has been cited by entrants to Transorientale, Heroes Legend and - most recently - Midwest Racing.

Other Fields

One hundred [and] thirteen is also:

See also

References

  • Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134

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