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131132320 = 2551174507
BaseRepresentation
bin1111101000011…
…10101110100000
3100010202012201121
413310032232200
5232032213240
621002342024
73151414654
oct764165640
9303665647
10131132320
1168025720
1237aba914
1321223cb7
14135b6a64
15b7a404a
hex7d0eba0

131132320 has 48 divisors (see below), whose sum is σ = 337968288. Its totient is φ = 47683840.

The previous prime is 131132311. The next prime is 131132321. The reversal of 131132320 is 23231131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131132294 and 131132303.

It is not an unprimeable number, because it can be changed into a prime (131132321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35494 + ... + 39013.

It is an arithmetic number, because the mean of its divisors is an integer number (7041006).

Almost surely, 2131132320 is an apocalyptic number.

131132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132320 is an abundant number, since it is smaller than the sum of its proper divisors (206835968).

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

131132320 is a wasteful number, since it uses less digits than its factorization.

131132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74533 (or 74525 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131132320 is about 11451.3021093673. The cubic root of 131132320 is about 508.0462478820.

Adding to 131132320 its reverse (23231131), we get a palindrome (154363451).

The spelling of 131132320 in words is "one hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 74507 149014 298028 372535 596056 745070 819577 1192112 1490140 1639154 2384224 2980280 3278308 4097885 5960560 6556616 8195770 11921120 13113232 16391540 26226464 32783080 65566160 131132320