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131718912 = 2831379167
BaseRepresentation
bin1111101100111…
…01111100000000
3100011212000101020
413312131330000
5232210001122
621023105440
73156410103
oct766357400
9304760336
10131718912
1168396406
1238142280
132139acb0
14136ca73a
15b86cc5c
hex7d9df00

131718912 has 144 divisors (see below), whose sum is σ = 384599040. Its totient is φ = 39776256.

The previous prime is 131718911. The next prime is 131718929. The reversal of 131718912 is 219817131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131718911) 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, 788653 + ... + 788819.

Almost surely, 2131718912 is an apocalyptic number.

131718912 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 131718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192299520).

131718912 is an abundant number, since it is smaller than the sum of its proper divisors (252880128).

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

131718912 is a wasteful number, since it uses less digits than its factorization.

131718912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 3024, while the sum is 33.

The square root of 131718912 is about 11476.8859888038. The cubic root of 131718912 is about 508.8026660198.

The spelling of 131718912 in words is "one hundred thirty-one million, seven hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 167 192 208 237 256 312 316 334 384 416 474 501 624 632 668 768 832 948 1002 1027 1248 1264 1336 1664 1896 2004 2054 2171 2496 2528 2672 3081 3328 3792 4008 4108 4342 4992 5056 5344 6162 6513 7584 8016 8216 8684 9984 10112 10688 12324 13026 13193 15168 16032 16432 17368 20224 21376 24648 26052 26386 30336 32064 32864 34736 39579 42752 49296 52104 52772 60672 64128 65728 69472 79158 98592 104208 105544 128256 131456 138944 158316 171509 197184 208416 211088 262912 277888 316632 343018 394368 416832 422176 514527 555776 633264 686036 788736 833664 844352 1029054 1266528 1372072 1667328 1688704 2058108 2533056 2744144 3377408 4116216 5066112 5488288 8232432 10132224 10976576 16464864 21953152 32929728 43906304 65859456 131718912