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131011232 = 25111921031
BaseRepresentation
bin1111100111100…
…01001010100000
3100010112001121212
413303301022200
5232014324412
621000005252
73150401642
oct763611240
9303461555
10131011232
1167a52750
1237a60828
13211b0b51
1413584892
15b77d222
hex7cf12a0

131011232 has 72 divisors (see below), whose sum is σ = 297253152. Its totient is φ = 56361600.

The previous prime is 131011229. The next prime is 131011247. The reversal of 131011232 is 232110131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126557 + ... + 127587.

It is an arithmetic number, because the mean of its divisors is an integer number (4128516).

Almost surely, 2131011232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148626576).

131011232 is an abundant number, since it is smaller than the sum of its proper divisors (166241920).

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

131011232 is a wasteful number, since it uses less digits than its factorization.

131011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131011232 is about 11446.0138039407. The cubic root of 131011232 is about 507.8898225523.

Adding to 131011232 its reverse (232110131), we get a palindrome (363121363).

The spelling of 131011232 in words is "one hundred thirty-one million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 361 418 608 722 836 1031 1444 1672 2062 2888 3344 3971 4124 5776 6688 7942 8248 11341 11552 15884 16496 19589 22682 31768 32992 39178 45364 63536 78356 90728 127072 156712 181456 215479 313424 362912 372191 430958 626848 744382 861916 1488764 1723832 2977528 3447664 4094101 5955056 6895328 8188202 11910112 16376404 32752808 65505616 131011232