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131210112 = 2731131063
BaseRepresentation
bin1111101001000…
…01101110000000
3100010220011102210
413310201232000
5232042210422
621004142120
73152160525
oct764415600
9303804383
10131210112
1168079110
1237b37940
1321250527
14135d714c
15b7bc10c
hex7d21b80

131210112 has 64 divisors (see below), whose sum is σ = 380223360. Its totient is φ = 39759360.

The previous prime is 131210111. The next prime is 131210113. The reversal of 131210112 is 211012131.

It is an interprime number because it is at equal distance from previous prime (131210111) and next prime (131210113).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131210111) 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, 11308 + ... + 19755.

It is an arithmetic number, because the mean of its divisors is an integer number (5940990).

Almost surely, 2131210112 is an apocalyptic number.

131210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131210112 is an abundant number, since it is smaller than the sum of its proper divisors (249013248).

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

131210112 is a wasteful number, since it uses less digits than its factorization.

131210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31091 (or 31079 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 131210112 is about 11454.6982500632. The cubic root of 131210112 is about 508.1466912638.

Adding to 131210112 its reverse (211012131), we get a palindrome (342222243).

The spelling of 131210112 in words is "one hundred thirty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 31063 62126 93189 124252 186378 248504 341693 372756 497008 683386 745512 994016 1025079 1366772 1491024 1988032 2050158 2733544 2982048 3976064 4100316 5467088 5964096 8200632 10934176 11928192 16401264 21868352 32802528 43736704 65605056 131210112