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131901912 = 23331722113
BaseRepresentation
bin1111101110010…
…10100111011000
3100012012022102000
413313022213120
5232231330122
621031041000
73161101452
oct767124730
9305168360
10131901912
116850094a
1238210160
132143338c
14137372d2
15b8a70ac
hex7dca9d8

131901912 has 96 divisors (see below), whose sum is σ = 389398800. Its totient is φ = 41361408.

The previous prime is 131901911. The next prime is 131901919. The reversal of 131901912 is 219109131.

It is a super-2 number, since 2×1319019122 = 34796228778511488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131901911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61368 + ... + 63480.

Almost surely, 2131901912 is an apocalyptic number.

131901912 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 131901912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194699400).

131901912 is an abundant number, since it is smaller than the sum of its proper divisors (257496888).

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

131901912 is a wasteful number, since it uses less digits than its factorization.

131901912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 131901912 is about 11484.8557674879. The cubic root of 131901912 is about 509.0381872505.

The spelling of 131901912 in words is "one hundred thirty-one million, nine hundred one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2113 2312 2601 3468 3672 4226 5202 6339 6936 7803 8452 10404 12678 15606 16904 19017 20808 25356 31212 35921 38034 50712 57051 62424 71842 76068 107763 114102 143684 152136 215526 228204 287368 323289 431052 456408 610657 646578 862104 969867 1221314 1293156 1831971 1939734 2442628 2586312 3663942 3879468 4885256 5495913 7327884 7758936 10991826 14655768 16487739 21983652 32975478 43967304 65950956 131901912