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131754012 = 223131749681
BaseRepresentation
bin1111101101001…
…10100000011100
3100011220210112020
413312212200130
5232212112022
621023540140
73156614325
oct766464034
9304823466
10131754012
116840a815
123815a650
13213b0c70
14136d944c
15b87835c
hex7da681c

131754012 has 48 divisors (see below), whose sum is σ = 350556192. Its totient is φ = 38154240.

The previous prime is 131754011. The next prime is 131754013. The reversal of 131754012 is 210457131.

It is an interprime number because it is at equal distance from previous prime (131754011) and next prime (131754013).

It is a super-2 number, since 2×1317540122 = 34718239356192288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131754011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22189 + ... + 27492.

It is an arithmetic number, because the mean of its divisors is an integer number (7303254).

Almost surely, 2131754012 is an apocalyptic number.

131754012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131754012 is an abundant number, since it is smaller than the sum of its proper divisors (218802180).

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

131754012 is a wasteful number, since it uses less digits than its factorization.

131754012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49718 (or 49716 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 131754012 is about 11478.4150473835. The cubic root of 131754012 is about 508.8478566641.

The spelling of 131754012 in words is "one hundred thirty-one million, seven hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 49681 99362 149043 198724 298086 596172 645853 844577 1291706 1689154 1937559 2533731 2583412 3378308 3875118 5067462 7750236 10134924 10979501 21959002 32938503 43918004 65877006 131754012