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131331030132312 = 233219199482423191
BaseRepresentation
bin11101110111000111100011…
…011001100010011001011000
3122020000010100022000210020200
4131313013203121202121120
5114203211422203213222
61143152350425022200
736443232233152203
oct3567074331423130
9566003308023220
10131331030132312
11389341a479806a
1212890a00324960
1358386032a1b5a
14246065490493a
15102b34c77beac
hex7771e3662658

131331030132312 has 96 divisors (see below), whose sum is σ = 376290089760000. Its totient is φ = 41264549979840.

The previous prime is 131331030132241. The next prime is 131331030132319. The reversal of 131331030132312 is 213231030133131.

131331030132312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 10 + 301 + 32 + 312 = 666.

It is a super-2 number, since 2×1313310301323122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331030132319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240939364 + ... + 241483827.

It is an arithmetic number, because the mean of its divisors is an integer number (3919688435000).

Almost surely, 2131331030132312 is an apocalyptic number.

131331030132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131331030132312 is an abundant number, since it is smaller than the sum of its proper divisors (244959059627688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131331030132312 is a wasteful number, since it uses less digits than its factorization.

131331030132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482423421 (or 482423414 counting only the distinct ones).

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

Adding to 131331030132312 its reverse (213231030133131), we get a palindrome (344562060265443).

The spelling of 131331030132312 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, thirty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 199 228 342 398 456 597 684 796 1194 1368 1592 1791 2388 3582 3781 4776 7164 7562 11343 14328 15124 22686 30248 34029 45372 68058 90744 136116 272232 482423191 964846382 1447269573 1929692764 2894539146 3859385528 4341808719 5789078292 8683617438 9166040629 11578156584 17367234876 18332081258 27498121887 34734469752 36664162516 54996243774 73328325032 82494365661 96002215009 109992487548 164988731322 192004430018 219984975096 288006645027 329977462644 384008860036 576013290054 659954925288 768017720072 864019935081 1152026580108 1728039870162 1824042085171 2304053160216 3456079740324 3648084170342 5472126255513 6912159480648 7296168340684 10944252511026 14592336681368 16416378766539 21888505022052 32832757533078 43777010044104 65665515066156 131331030132312