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10012131136 = 267208310729
BaseRepresentation
bin10010101001100010…
…01111111101000000
3221211202120221220201
421110301033331000
5131001101144021
64333254414544
7503052465460
oct112461177500
927752527821
1010012131136
114278650347
121b35061454
13c37377067
146ad9ddba0
153d8ea7591
hex254c4ff40

10012131136 has 56 divisors (see below), whose sum is σ = 22719101120. Its totient is φ = 4288453632.

The previous prime is 10012131091. The next prime is 10012131193. The reversal of 10012131136 is 63113121001.

It is a tau number, because it is divible by the number of its divisors (56).

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, 927820 + ... + 938548.

Almost surely, 210012131136 is an apocalyptic number.

10012131136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10012131136 is an abundant number, since it is smaller than the sum of its proper divisors (12706969984).

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

10012131136 is a wasteful number, since it uses less digits than its factorization.

10012131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10012131136 its reverse (63113121001), we get a palindrome (73125252137).

The spelling of 10012131136 in words is "ten billion, twelve million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2083 4166 8332 10729 14581 16664 21458 29162 33328 42916 58324 66656 75103 85832 116648 133312 150206 171664 233296 300412 343328 466592 600824 686656 933184 1201648 2403296 4806592 22348507 44697014 89394028 156439549 178788056 312879098 357576112 625758196 715152224 1251516392 1430304448 2503032784 5006065568 10012131136