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131237112 = 23314473779
BaseRepresentation
bin1111101001010…
…00010011111000
3100010221112110210
413310220103320
5232044041422
621004511120
73152332326
oct764502370
9303845423
10131237112
1168097426
1237b4b4a0
132125c8c6
1413602d16
15b7c510c
hex7d284f8

131237112 has 32 divisors (see below), whose sum is σ = 328406400. Its totient is φ = 43703904.

The previous prime is 131237111. The next prime is 131237131. The reversal of 131237112 is 211732131.

It is a happy number.

It is a super-2 number, since 2×1312371122 = 34446359132201088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131237111) 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, 32839 + ... + 36617.

It is an arithmetic number, because the mean of its divisors is an integer number (10262700).

Almost surely, 2131237112 is an apocalyptic number.

131237112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131237112 is an abundant number, since it is smaller than the sum of its proper divisors (197169288).

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

131237112 is a wasteful number, since it uses less digits than its factorization.

131237112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5231 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 131237112 is about 11455.8767451470. The cubic root of 131237112 is about 508.1815438106.

Adding to 131237112 its reverse (211732131), we get a palindrome (342969243).

The spelling of 131237112 in words is "one hundred thirty-one million, two hundred thirty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1447 2894 3779 4341 5788 7558 8682 11337 11576 15116 17364 22674 30232 34728 45348 90696 5468213 10936426 16404639 21872852 32809278 43745704 65618556 131237112