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10212525136 = 24112310312447
BaseRepresentation
bin10011000001011011…
…01100010001010000
3222100201200000210201
421200231230101100
5131403401301021
64405213504544
7511035013522
oct114055542120
928321600721
1010212525136
114370782320
121b901a2154
13c69a3b7a8
146cc485a12
153eb88d591
hex260b6c450

10212525136 has 80 divisors (see below), whose sum is σ = 22555127808. Its totient is φ = 4434108800.

The previous prime is 10212525047. The next prime is 10212525149. The reversal of 10212525136 is 63152521201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4172265 + ... + 4174711.

Almost surely, 210212525136 is an apocalyptic number.

10212525136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212525136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277563904).

10212525136 is an abundant number, since it is smaller than the sum of its proper divisors (12342602672).

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

10212525136 is a wasteful number, since it uses less digits than its factorization.

10212525136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10212525136 in words is "ten billion, two hundred twelve million, five hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1031 2024 2062 2447 4048 4124 4894 8248 9788 11341 16496 19576 22682 23713 26917 39152 45364 47426 53834 56281 90728 94852 107668 112562 181456 189704 215336 225124 260843 379408 430672 450248 521686 619091 900496 1043372 1238182 2086744 2476364 2522857 4173488 4952728 5045714 9905456 10091428 20182856 27751427 40365712 55502854 58025711 111005708 116051422 222011416 232102844 444022832 464205688 638282821 928411376 1276565642 2553131284 5106262568 10212525136