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131132112 = 2434363533
BaseRepresentation
bin1111101000011…
…10101011010000
3100010202012102220
413310032223100
5232032211422
621002341040
73151414236
oct764165320
9303665386
10131132112
1168025551
1237aba780
1321223b87
14135b6956
15b7a3e5c
hex7d0ead0

131132112 has 40 divisors (see below), whose sum is σ = 346641504. Its totient is φ = 42693504.

The previous prime is 131132051. The next prime is 131132137. The reversal of 131132112 is 211231131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131132091 and 131132100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29703 + ... + 33830.

Almost surely, 2131132112 is an apocalyptic number.

131132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131132112 is an abundant number, since it is smaller than the sum of its proper divisors (215509392).

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

131132112 is a wasteful number, since it uses less digits than its factorization.

131132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63587 (or 63581 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 131132112 is about 11451.2930274271. The cubic root of 131132112 is about 508.0459792636.

Adding to 131132112 its reverse (211231131), we get a palindrome (342363243).

It can be divided in two parts, 13113 and 2112, that added together give a triangular number (15225 = T174).

The spelling of 131132112 in words is "one hundred thirty-one million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 63533 127066 190599 254132 381198 508264 762396 1016528 1524792 2731919 3049584 5463838 8195757 10927676 16391514 21855352 32783028 43710704 65566056 131132112