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313753131 = 32172320233
BaseRepresentation
bin10010101100110…
…111111000101011
3210212101022101100
4102230313320223
51120310100011
651044452443
710526600106
oct2254677053
9725338340
10313753131
1115111840a
12890aa123
1350004a53
142d95373d
151c828d56
hex12b37e2b

313753131 has 12 divisors (see below), whose sum is σ = 453484408. Its totient is φ = 209037024.

The previous prime is 313753127. The next prime is 313753147. The reversal of 313753131 is 131357313.

It is not a de Polignac number, because 313753131 - 22 = 313753127 is a prime.

It is a super-2 number, since 2×3137531312 = 196882054424606322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313753095 and 313753104.

It is not an unprimeable number, because it can be changed into a prime (313753171) 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 11 ways as a sum of consecutive naturals, for example, 5391 + ... + 25623.

Almost surely, 2313753131 is an apocalyptic number.

313753131 is a deficient number, since it is larger than the sum of its proper divisors (139731277).

313753131 is a wasteful number, since it uses less digits than its factorization.

313753131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21962 (or 21959 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 313753131 is about 17713.0779651646. The cubic root of 313753131 is about 679.5102666136.

The spelling of 313753131 in words is "three hundred thirteen million, seven hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 1723 5169 15507 20233 60699 182097 34861459 104584377 313753131