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31131203313321 = 333747663029057
BaseRepresentation
bin1110001010000010011000…
…10100001001111010101001
311002020010002002022002011000
413011001030110021322221
513040023201022011241
6150113251040025213
76362104145040546
oct705011424117251
9132203062262130
1031131203313321
119a1273a7551a1
1235a9529002209
13144a876993c17
14798a88a11bcd
1538ebd9d45eb6
hex1c504c509ea9

31131203313321 has 32 divisors (see below), whose sum is σ = 48374600071680. Its totient is φ = 19763570101248.

The previous prime is 31131203313289. The next prime is 31131203313337. The reversal of 31131203313321 is 12331330213113.

31131203313321 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 1 + 2 + 0 + 331 + 3 + 321 = 666.

It is not a de Polignac number, because 31131203313321 - 25 = 31131203313289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31131203313341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331467576 + ... + 331561481.

It is an arithmetic number, because the mean of its divisors is an integer number (1511706252240).

Almost surely, 231131203313321 is an apocalyptic number.

It is an amenable number.

31131203313321 is a deficient number, since it is larger than the sum of its proper divisors (17243396758359).

31131203313321 is a wasteful number, since it uses less digits than its factorization.

31131203313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663029150 (or 663029144 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31131203313321 its reverse (12331330213113), we get a palindrome (43462533526434).

The spelling of 31131203313321 in words is "thirty-one trillion, one hundred thirty-one billion, two hundred three million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 27 37 47 111 141 333 423 999 1269 1739 5217 15651 46953 663029057 1989087171 5967261513 17901784539 24532075109 31162365679 73596225327 93487097037 220788675981 280461291111 662366027943 841383873333 1153007530123 3459022590369 10377067771107 31131203313321