| ||||
---|---|---|---|---|
Cardinal | one hundred fifty-one | |||
Ordinal | 151st (one hundred fifty-first) | |||
Factorization | prime | |||
Prime | 36th | |||
Divisors | 1, 151 | |||
Greek numeral | ΡΝΑ´ | |||
Roman numeral | CLI | |||
Binary | 100101112 | |||
Ternary | 121213 | |||
Senary | 4116 | |||
Octal | 2278 | |||
Duodecimal | 10712 | |||
Hexadecimal | 9716 |
151 (one hundred [and] fifty-one) is a natural number. It follows 150 and precedes 152.
151 is the 36th prime number, the previous is 149, with which it comprises a twin prime. 151 is also a palindromic prime, a centered decagonal number, [1] and a lucky number. [2]
151 appears in the Padovan sequence, preceded by the terms 65, 86, 114; it is the sum of the first two of these. [3]
151 is a unique prime in base 2, since it is the only prime with period 15 in base 2.
151 is the number of uniform paracompact honeycombs with infinite facets and vertex figures in the third dimension, which stem from 23 different Coxeter groups. Split into two whole numbers, 151 is the sum of 75 and 76, both relevant numbers in Euclidean and hyperbolic 3-space:
There are 151 4-uniform tilings, such that the symmetry of tilings with regular polygons have four orbits of vertices. [4]
While 151 is the 36th indexed prime, its twin prime 149 has a reciprocal whose repeating decimal expansion has a digit sum of 666, which is the magic constant in a prime reciprocal magic square equal to the sum of the first 36 non-zero integers, or equivalently the 36th triangular number. [5] Furthermore, the sum between twin primes (149, 151) is 300, which in turn is the 24th triangular number.
151 is also:
10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. It is the first double-digit number. The reason for the choice of ten is assumed to be that humans have ten fingers (digits).
19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number.
21 (twenty-one) is the natural number following 20 and preceding 22.
90 (ninety) is the natural number preceded by 89 and followed by 91.
23 (twenty-three) is the natural number following 22 and preceding 24.
28 (twenty-eight) is the natural number following 27 and preceding 29.
109 is the natural number following 108 and preceding 110.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
300 is the natural number following 299 and preceding 301.
400 is the natural number following 399 and preceding 401.
700 is the natural number following 699 and preceding 701.
600 is the natural number following 599 and preceding 601.
800 is the natural number following 799 and preceding 801.
900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number.
2000 is a natural number following 1999 and preceding 2001.
3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.
4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.
5000 is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.
7000 is the natural number following 6999 and preceding 7001.
135 is the natural number following 134 and preceding 136.