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131363512 = 2375977
BaseRepresentation
bin1111101010001…
…11001010111000
3100011011221212021
413311013022320
5232112113022
621011324224
73153400000
oct765071270
9304157767
10131363512
1168173395
1237bb0674
13212a52b7
1413637000
15b7ec7c7
hex7d472b8

131363512 has 48 divisors (see below), whose sum is σ = 287649360. Its totient is φ = 56241024.

The previous prime is 131363501. The next prime is 131363537. The reversal of 131363512 is 215363131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133968 + ... + 134944.

It is an arithmetic number, because the mean of its divisors is an integer number (5992695).

Almost surely, 2131363512 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 131363512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143824680).

131363512 is an abundant number, since it is smaller than the sum of its proper divisors (156285848).

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

131363512 is an frugal number, since it uses more digits than its factorization.

131363512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 986 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 131363512 is about 11461.3922365479. The cubic root of 131363512 is about 508.3446418219.

The spelling of 131363512 in words is "one hundred thirty-one million, three hundred sixty-three thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 977 1372 1954 2401 2744 3908 4802 6839 7816 9604 13678 16807 19208 27356 33614 47873 54712 67228 95746 134456 191492 335111 382984 670222 1340444 2345777 2680888 4691554 9383108 16420439 18766216 32840878 65681756 131363512