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131201431431024 = 2437198807389629
BaseRepresentation
bin11101110101001110110110…
…101101101110011101110000
3122012112201211100012121222010
4131311032312231232131300
5114144101012421243044
61143013034443042520
736430663531316013
oct3565166655563560
9565481740177863
10131201431431024
113889423a6a0669
121286b871b10440
13582931b5a4aa6
14245827c85b37a
151027cb4c86bb9
hex7753b6b6e770

131201431431024 has 80 divisors (see below), whose sum is σ = 343715152965120. Its totient is φ = 43117294268160.

The previous prime is 131201431431023. The next prime is 131201431431043. The reversal of 131201431431024 is 420134134102131.

It is a junction number, because it is equal to n+sod(n) for n = 131201431430982 and 131201431431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201431431023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336539442 + ... + 336929070.

It is an arithmetic number, because the mean of its divisors is an integer number (4296439412064).

Almost surely, 2131201431431024 is an apocalyptic number.

It is an amenable number.

131201431431024 is an abundant number, since it is smaller than the sum of its proper divisors (212513721534096).

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

131201431431024 is a wasteful number, since it uses less digits than its factorization.

131201431431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488518 (or 488512 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131201431431024 its reverse (420134134102131), we get a palindrome (551335565533155).

The spelling of 131201431431024 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred thirty-one million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 98807 197614 296421 389629 395228 592842 779258 790456 1168887 1185684 1558516 1580912 2337774 2371368 3117032 4675548 4742736 6234064 7015297 9351096 14030594 18702192 21045891 27663659 28061188 42091782 55327318 56122376 82990977 84183564 110654636 112244752 165981954 168367128 221309272 331963908 336734256 442618544 663927816 1327855632 38498072603 76996145206 115494217809 153992290412 230988435618 307984580824 461976871236 615969161648 923953742472 1847907484944 2733363154813 5466726309626 8200089464439 10933452619252 16400178928878 21866905238504 32800357857756 43733810477008 65600715715512 131201431431024