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1312413020424 = 2332111987215113
BaseRepresentation
bin10011000110010001111…
…010010111000100001000
311122110120022122020002100
4103012101322113010020
5133000310213123144
62442525245433400
7163550550416322
oct23062172270410
94573508566070
101312413020424
11466655a32160
1219243056b860
13969b59abb3c
1447741d9a612
1524213a7c269
hex13191e97108

1312413020424 has 96 divisors (see below), whose sum is σ = 4081667335200. Its totient is φ = 376769283840.

The previous prime is 1312413020389. The next prime is 1312413020431. The reversal of 1312413020424 is 4240203142131.

1312413020424 is a `hidden beast` number, since 1 + 312 + 4 + 1 + 302 + 0 + 42 + 4 = 666.

It is a super-2 number, since 2×13124130204242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43592509 + ... + 43622604.

It is an arithmetic number, because the mean of its divisors is an integer number (42517368075).

Almost surely, 21312413020424 is an apocalyptic number.

It is an amenable number.

1312413020424 is an abundant number, since it is smaller than the sum of its proper divisors (2769254314776).

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

1312413020424 is a wasteful number, since it uses less digits than its factorization.

1312413020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87215155 (or 87215148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1312413020424 its reverse (4240203142131), we get a palindrome (5552616162555).

The spelling of 1312413020424 in words is "one trillion, three hundred twelve billion, four hundred thirteen million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 87215113 174430226 261645339 348860452 523290678 697720904 784936017 959366243 1046581356 1569872034 1657087147 1918732486 2093162712 2878098729 3139744068 3314174294 3837464972 4971261441 5756197458 6279488136 6628348588 7674929944 8634296187 9942522882 11512394916 13256697176 14913784323 17268592374 18227958617 19885045764 23024789832 29827568646 34537184748 36455917234 39770091528 54683875851 59655137292 69074369496 72911834468 109367751702 119310274584 145823668936 164051627553 218735503404 328103255106 437471006808 656206510212 1312413020424