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313312131 = 3411734817
BaseRepresentation
bin10010101011001…
…100001110000011
3210211112220110000
4102223030032003
51120201442011
651031211043
710523052306
oct2253141603
9724486400
10313312131
11150947050
1288b16a83
134cbac0c2
142d87ab3d
151c78d356
hex12acc383

313312131 has 40 divisors (see below), whose sum is σ = 517684464. Its totient is φ = 187246080.

The previous prime is 313312123. The next prime is 313312213. The reversal of 313312131 is 131213313.

It is a happy number.

It is not a de Polignac number, because 313312131 - 23 = 313312123 is a prime.

It is a super-2 number, since 2×3133121312 = 196328982863522322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313312631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62635 + ... + 67451.

Almost surely, 2313312131 is an apocalyptic number.

313312131 is a deficient number, since it is larger than the sum of its proper divisors (204372333).

313312131 is a wasteful number, since it uses less digits than its factorization.

313312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4904 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 313312131 is about 17700.6251584513. The cubic root of 313312131 is about 679.1917523565.

Adding to 313312131 its reverse (131213313), we get a palindrome (444525444).

The spelling of 313312131 in words is "three hundred thirteen million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 73 81 99 219 297 657 803 891 1971 2409 4817 5913 7227 14451 21681 43353 52987 65043 130059 158961 351641 390177 476883 1054923 1430649 3164769 3868051 4291947 9494307 11604153 28482921 34812459 104437377 313312131