121 (number)
121 (one hundred [and] twenty-one) is the natural number following 120 and preceding 122.
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| Cardinal | one hundred twenty-one | |||
| Ordinal | 121st (one hundred twenty-first) | |||
| Factorization | 112 | |||
| Divisors | 1, 11, 121 | |||
| Greek numeral | ΡΚΑ´ | |||
| Roman numeral | CXXI | |||
| Binary | 11110012 | |||
| Ternary | 111113 | |||
| Octal | 1718 | |||
| Duodecimal | A112 | |||
| Hexadecimal | 7916 | |||
In mathematics
One hundred [and] twenty-one' is a square (11 times 11) and is the sum of three consecutive primes (37 + 41 + 43). There are no squares besides 121 known to be of the form , 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 one of the few numbers 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
References
- Wells, D., The Penguin Dictionary of Curious and Interesting Numbers, London: Penguin Group. (1987): 136
- Vodafone, Calling and messaging
- Rule 1.1 Archived 2015-01-18 at the Wayback Machine, American Cribbage Congress, retrieved 6 September 2011
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