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131112324 = 22337173429
BaseRepresentation
bin1111101000010…
…01110110000100
3100010201012022000
413310021312010
5232031043244
621002105300
73151302450
oct764116604
9303635260
10131112324
11680116a2
1237aab230
1321217b75
14135ad660
15b79d169
hex7d09d84

131112324 has 48 divisors (see below), whose sum is σ = 388483200. Its totient is φ = 37460448.

The previous prime is 131112323. The next prime is 131112329. The reversal of 131112324 is 423211131.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 131112297 and 131112306.

It is not an unprimeable number, because it can be changed into a prime (131112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85959 + ... + 87470.

It is an arithmetic number, because the mean of its divisors is an integer number (8093400).

Almost surely, 2131112324 is an apocalyptic number.

131112324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131112324 is an abundant number, since it is smaller than the sum of its proper divisors (257370876).

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

131112324 is a wasteful number, since it uses less digits than its factorization.

131112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173449 (or 173441 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131112324 is about 11450.4289875969. The cubic root of 131112324 is about 508.0204230531.

Adding to 131112324 its reverse (423211131), we get a palindrome (554323455).

The spelling of 131112324 in words is "one hundred thirty-one million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 173429 346858 520287 693716 1040574 1214003 1560861 2081148 2428006 3121722 3642009 4682583 4856012 6243444 7284018 9365166 10926027 14568036 18730332 21852054 32778081 43704108 65556162 131112324