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31303013013 = 323478112557
BaseRepresentation
bin11101001001110011…
…100001001010010101
32222210120010211012100
4131021303201022111
51003102032404023
622214100112313
72155501135416
oct351163411225
988716124170
1031303013013
1112303809a98
126097395699
132c4b31660c
14172d51180d
15c33211c43
hex749ce1295

31303013013 has 6 divisors (see below), whose sum is σ = 45215463254. Its totient is φ = 20868675336.

The previous prime is 31303012987. The next prime is 31303013017. The reversal of 31303013013 is 31031030313.

31303013013 is a `hidden beast` number, since 31 + 30 + 301 + 301 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31195330884 + 107682129 = 176622^2 + 10377^2 .

It is not a de Polignac number, because 31303013013 - 220 = 31301964437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303013017) 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 5 ways as a sum of consecutive naturals, for example, 1739056270 + ... + 1739056287.

Almost surely, 231303013013 is an apocalyptic number.

It is an amenable number.

31303013013 is a deficient number, since it is larger than the sum of its proper divisors (13912450241).

31303013013 is a wasteful number, since it uses less digits than its factorization.

31303013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478112563 (or 3478112560 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31303013013 its reverse (31031030313), we get a palindrome (62334043326).

The spelling of 31303013013 in words is "thirty-one billion, three hundred three million, thirteen thousand, thirteen".

Divisors: 1 3 9 3478112557 10434337671 31303013013