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131015232 = 2634127199
BaseRepresentation
bin1111100111100…
…10001001000000
3100010112021010000
413303302021000
5232014441412
621000040000
73150416415
oct763621100
9303467100
10131015232
1167a55757
1237a63000
13211b290a
141358610c
15b77e4dc
hex7cf2240

131015232 has 140 divisors (see below), whose sum is σ = 393395200. Its totient is φ = 43110144.

The previous prime is 131015219. The next prime is 131015237. The reversal of 131015232 is 232510131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131015237) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658269 + ... + 658467.

Almost surely, 2131015232 is an apocalyptic number.

131015232 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 131015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196697600).

131015232 is an abundant number, since it is smaller than the sum of its proper divisors (262379968).

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

131015232 is a wasteful number, since it uses less digits than its factorization.

131015232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131015232 is about 11446.1885359276. The cubic root of 131015232 is about 507.8949914186.

Adding to 131015232 its reverse (232510131), we get a palindrome (363525363).

The spelling of 131015232 in words is "one hundred thirty-one million, fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 144 162 192 199 216 254 288 324 381 398 432 508 576 597 648 762 796 864 1016 1143 1194 1296 1524 1592 1728 1791 2032 2286 2388 2592 3048 3184 3429 3582 4064 4572 4776 5184 5373 6096 6368 6858 7164 8128 9144 9552 10287 10746 12192 12736 13716 14328 16119 18288 19104 20574 21492 24384 25273 27432 28656 32238 36576 38208 41148 42984 50546 54864 57312 64476 73152 75819 82296 85968 101092 109728 114624 128952 151638 164592 171936 202184 219456 227457 257904 303276 329184 343872 404368 454914 515808 606552 658368 682371 808736 909828 1031616 1213104 1364742 1617472 1819656 2047113 2426208 2729484 3639312 4094226 4852416 5458968 7278624 8188452 10917936 14557248 16376904 21835872 32753808 43671744 65507616 131015232