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100531376052 = 223175915753201
BaseRepresentation
bin101110110100000100…
…0110000111110110100
3100121111012112001011020
41131220020300332310
53121342013013202
6114103344141140
710156155411552
oct1355010607664
9317435461136
10100531376052
11396a9382868
12175979077b0
13963192bc43
144c19862bd2
152935bee5bc
hex1768230fb4

100531376052 has 96 divisors (see below), whose sum is σ = 254194899840. Its totient is φ = 30806630400.

The previous prime is 100531376051. The next prime is 100531376081. The reversal of 100531376052 is 250673135001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100531376051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863052 + ... + 1916252.

It is an arithmetic number, because the mean of its divisors is an integer number (2647863540).

Almost surely, 2100531376052 is an apocalyptic number.

100531376052 is a gapful number since it is divisible by the number (12) 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 100531376052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127097449920).

100531376052 is an abundant number, since it is smaller than the sum of its proper divisors (153663523788).

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

100531376052 is a wasteful number, since it uses less digits than its factorization.

100531376052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53441 (or 53439 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 100531376052 in words is "one hundred billion, five hundred thirty-one million, three hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 157 177 204 236 314 354 471 628 708 942 1003 1884 2006 2669 3009 4012 5338 6018 8007 9263 10676 12036 16014 18526 27789 32028 37052 53201 55578 106402 111156 157471 159603 212804 314942 319206 472413 629884 638412 904417 944826 1808834 1889652 2713251 3138859 3617668 5426502 6277718 8352557 9416577 10853004 12555436 16705114 18833154 25057671 33410228 37666308 50115342 53360603 100230684 106721206 141993469 160081809 213442412 283986938 320163618 425980407 492800863 567973876 640327236 851960814 985601726 1478402589 1703921628 1971203452 2956805178 5913610356 8377614671 16755229342 25132844013 33510458684 50265688026 100531376052