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12937100 = 22521119619
BaseRepresentation
bin110001010110…
…011110001100
3220100021100212
4301112132030
511302441400
61141141552
7214651331
oct61263614
926307325
1012937100
117336920
1243ba8b8
1328ac6b7
141a0a988
151208335
hexc5678c

12937100 has 72 divisors (see below), whose sum is σ = 32289600. Its totient is φ = 4449600.

The previous prime is 12937069. The next prime is 12937139. The reversal of 12937100 is 173921.

12937100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20591 + ... + 21209.

Almost surely, 212937100 is an apocalyptic number.

12937100 is a gapful number since it is divisible by the number (10) 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 12937100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144800).

12937100 is an abundant number, since it is smaller than the sum of its proper divisors (19352500).

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

12937100 is a wasteful number, since it uses less digits than its factorization.

12937100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 12937100 is about 3596.8180382110. The cubic root of 12937100 is about 234.7536274142.

The spelling of 12937100 in words is "twelve million, nine hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 619 836 950 1045 1100 1238 1900 2090 2476 3095 4180 5225 6190 6809 10450 11761 12380 13618 15475 20900 23522 27236 30950 34045 47044 58805 61900 68090 117610 129371 136180 170225 235220 258742 294025 340450 517484 588050 646855 680900 1176100 1293710 2587420 3234275 6468550 12937100