- 121 (number)
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121 (one hundred [and] twenty-one) is the natural number following 120 and preceding 122.
121 Cardinal one hundred [and] twenty-one Ordinal 121st
(one hundred [and] twenty-first)Numeral system 121 Factorization 112 Divisors 1, 11, 121 Roman numeral CXXI Binary 11110012 Octal 1718 Duodecimal A112 Hexadecimal 7916 Contents
In mathematics
One hundred [and] twenty-one is a square and is the sum of three consecutive primes (37 + 41 + 43). There are no squares besides 121 known to be of the form 1 + p + p2 + p3 + p4, where p is prime (3, in this case). Other such squares must have at least 35 digits.
There are only two other squares known to be of the form n! + 1, supporting Brocard's conjecture. Another example of 121 being of the few examples supporting a conjecture is that Fermat conjectured that 4 and 121 are the only perfect squares of the form x3 - 4 (with x being 2 and 5, respectively).[1]
It is also a star number and a centered octagonal number.
A Chinese checkers board has 121 holes
In base 10, it is a Smith number since its digits add up to the same value as its factorization (which uses the same digits) and as a consequence of that it is a Friedman number (11^2). But it can not be expressed as the sum of any other number plus that number's digits, making 121 a self number.
In other fields
121 is also:
- The electricity emergency telephone number in Egypt
- The number for voicemail for mobile phones on the Vodafone network[2]
- The undiscovered chemical element Unbiunium has the atomic number 121
- The official end score for Cribbage[3]
See also
- List of highways numbered 121
- United States House of Representatives House Resolution 121
- United Nations Security Council Resolution 121
References
- ^ Wells, D., The Penguin Dictionary of Curious and Interesting Numbers, London: Penguin Group. (1987): 136
- ^ Vodafone, Calling and messaging
- ^ Rule 1.1, American Cribbage Congress, retrieved 6 September 2011
Categories:- Integers
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