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31131433413113 = 1119563264572339
BaseRepresentation
bin1110001010000010110100…
…00001111010100111111001
311002020010200010021100201112
413011001122001322213321
513040024133423204423
6150113325535530105
76362112640620455
oct705013201724771
9132203603240645
1031131433413113
119a12848626610
1235a9592089935
13144a8b2559747
14798aab3cb665
1538ec00148a78
hex1c505a07a9f9

31131433413113 has 16 divisors (see below), whose sum is σ = 35812511942400. Its totient is φ = 26764137712080.

The previous prime is 31131433413107. The next prime is 31131433413121.

31131433413113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31131433413113 - 28 = 31131433412857 is a prime.

It is a super-2 number, since 2×311314334131132 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31131433413113.

It is not an unprimeable number, because it can be changed into a prime (31131433413103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132168503 + ... + 132403836.

It is an arithmetic number, because the mean of its divisors is an integer number (2238281996400).

Almost surely, 231131433413113 is an apocalyptic number.

It is an amenable number.

31131433413113 is a deficient number, since it is larger than the sum of its proper divisors (4681078529287).

31131433413113 is a wasteful number, since it uses less digits than its factorization.

31131433413113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264572932.

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

It can be divided in two parts, 3113143 and 3413113, that added together give a palindrome (6526256).

The spelling of 31131433413113 in words is "thirty-one trillion, one hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, one hundred thirteen".

Divisors: 1 11 19 209 563 6193 10697 117667 264572339 2910295729 5026874441 55295618851 148954226857 1638496495427 2830130310283 31131433413113