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31631413613 = 1741101613733
BaseRepresentation
bin11101011101011000…
…010001000101101101
310000122110002022010112
4131131120101011231
51004240120213423
622310430545405
72166566402522
oct353530210555
9100573068115
1031631413613
1112462121248
126169368265
132ca13793b7
141760d99149
15c51e80a78
hex75d61116d

31631413613 has 32 divisors (see below), whose sum is σ = 34752527712. Its totient is φ = 28670976000.

The previous prime is 31631413603. The next prime is 31631413631.

31631413613 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 2405117764 + 29226295849 = 49042^2 + 170957^2 .

It is a de Polignac number, because none of the positive numbers 2k-31631413613 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31631413613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31631413603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43152995 + ... + 43153727.

It is an arithmetic number, because the mean of its divisors is an integer number (1086016491).

Almost surely, 231631413613 is an apocalyptic number.

It is an amenable number.

31631413613 is a deficient number, since it is larger than the sum of its proper divisors (3121114099).

31631413613 is a wasteful number, since it uses less digits than its factorization.

31631413613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505.

The product of its digits is 11664, while the sum is 32.

The spelling of 31631413613 in words is "thirty-one billion, six hundred thirty-one million, four hundred thirteen thousand, six hundred thirteen".

Divisors: 1 17 41 101 613 697 733 1717 4141 10421 12461 25133 30053 61913 70397 74033 427261 449329 510901 1052521 1258561 2538433 3035353 7638593 18422489 43153361 45382229 51601001 313182313 771497893 1860671389 31631413613