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131312232 = 23332920963
BaseRepresentation
bin1111101001110…
…10101001101000
3100011002100112000
413310322221220
5232103442412
621010251000
73153064332
oct764725150
9304070460
10131312232
1168138907
1237b86a60
1321287b5c
1413622452
15b7dc4dc
hex7d3aa68

131312232 has 64 divisors (see below), whose sum is σ = 377352000. Its totient is φ = 42259392.

The previous prime is 131312227. The next prime is 131312243. The reversal of 131312232 is 232213131.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4218 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (5896125).

Almost surely, 2131312232 is an apocalyptic number.

131312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131312232 is an abundant number, since it is smaller than the sum of its proper divisors (246039768).

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

131312232 is a wasteful number, since it uses less digits than its factorization.

131312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21007 (or 20997 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131312232 is about 11459.1549426648. The cubic root of 131312232 is about 508.2784861963.

Adding to 131312232 its reverse (232213131), we get a palindrome (363525363).

The spelling of 131312232 in words is "one hundred thirty-one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 20963 41926 62889 83852 125778 167704 188667 251556 377334 503112 566001 607927 754668 1132002 1215854 1509336 1823781 2264004 2431708 3647562 4528008 4863416 5471343 7295124 10942686 14590248 16414029 21885372 32828058 43770744 65656116 131312232