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31312021313 = 23101112911939
BaseRepresentation
bin11101001010010101…
…111000011101000001
32222211012002111021002
4131022111320131001
51003111334140223
622215021141345
72155640534606
oct351225703501
988735074232
1031312021313
1112308902071
12609a3ba855
132c5014b981
1417307b86ad
15c33de0e28
hex74a578741

31312021313 has 16 divisors (see below), whose sum is σ = 33028905600. Its totient is φ = 29625340800.

The previous prime is 31312021309. The next prime is 31312021373.

31312021313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31312021313 - 22 = 31312021309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31312021373) 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 15 ways as a sum of consecutive naturals, for example, 2616698 + ... + 2628636.

It is an arithmetic number, because the mean of its divisors is an integer number (2064306600).

Almost surely, 231312021313 is an apocalyptic number.

It is an amenable number.

31312021313 is a deficient number, since it is larger than the sum of its proper divisors (1716884287).

31312021313 is a wasteful number, since it uses less digits than its factorization.

31312021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 313120 and 21313, that added together give a palindrome (334433).

The spelling of 31312021313 in words is "thirty-one billion, three hundred twelve million, twenty-one thousand, three hundred thirteen".

Divisors: 1 23 101 1129 2323 11939 25967 114029 274597 1205839 2622667 13479131 27734297 310020013 1361392231 31312021313