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131334412300032 = 2831622211054169
BaseRepresentation
bin11101110111001010101100…
…111111011110111100000000
3122020000110002000011201010210
4131313022230333132330000
5114203240334022100112
61143154110204354120
736443412112126404
oct3567125477367400
9566013060151123
10131334412300032
113893567a9537a7
12128915a4b45940
135838a21bc3126
142460895b8d104
15102b499660b3c
hex7772acfdef00

131334412300032 has 72 divisors (see below), whose sum is σ = 349543552372560. Its totient is φ = 43777826037760.

The previous prime is 131334412300001. The next prime is 131334412300123. The reversal of 131334412300032 is 230003214433131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124058644 + ... + 125112812.

It is an arithmetic number, because the mean of its divisors is an integer number (4854771560730).

Almost surely, 2131334412300032 is an apocalyptic number.

131334412300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131334412300032 is an abundant number, since it is smaller than the sum of its proper divisors (218209140072528).

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

131334412300032 is a wasteful number, since it uses less digits than its factorization.

131334412300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216409 (or 1216395 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131334412300032 its reverse (230003214433131), we get a palindrome (361337626733163).

The spelling of 131334412300032 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, four hundred twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 162221 324442 486663 648884 973326 1054169 1297768 1946652 2108338 2595536 3162507 3893304 4216676 5191072 6325014 7786608 8433352 10382144 12650028 15573216 16866704 20764288 25300056 31146432 33733408 41528576 50600112 62292864 67466816 101200224 124585728 134933632 202400448 269867264 404800896 809601792 171008349349 342016698698 513025048047 684033397396 1026050096094 1368066794792 2052100192188 2736133589584 4104200384376 5472267179168 8208400768752 10944534358336 16416801537504 21889068716672 32833603075008 43778137433344 65667206150016 131334412300032