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313253031 = 37213237127
BaseRepresentation
bin10010101010111…
…101110010100111
3210211102220101010
4102222331302213
51120143044111
651030033303
710522415100
oct2252756247
9724386333
10313253031
11150906703
1288aa8833
134cb8b230
142d8633a7
151c77aaa6
hex12abdca7

313253031 has 48 divisors (see below), whose sum is σ = 546061824. Its totient is φ = 158026176.

The previous prime is 313253027. The next prime is 313253053. The reversal of 313253031 is 130352313.

It is not a de Polignac number, because 313253031 - 22 = 313253027 is a prime.

It is a super-2 number, since 2×3132530312 = 196254922861373922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 313252989 and 313253007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313253011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40390 + ... + 47516.

It is an arithmetic number, because the mean of its divisors is an integer number (11376288).

Almost surely, 2313253031 is an apocalyptic number.

313253031 is a deficient number, since it is larger than the sum of its proper divisors (232808793).

313253031 is a wasteful number, since it uses less digits than its factorization.

313253031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 313253031 is about 17698.9556471561. The cubic root of 313253031 is about 679.1490444062.

The spelling of 313253031 in words is "three hundred thirteen million, two hundred fifty-three thousand, thirty-one".

Divisors: 1 3 7 13 21 23 39 49 69 91 147 161 273 299 483 637 897 1127 1911 2093 3381 6279 7127 14651 21381 43953 49889 92651 149667 163921 277953 349223 491763 648557 1047669 1147447 1945671 2130973 3442341 4539899 6392919 8032129 13619697 14916811 24096387 44750433 104417677 313253031