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132013431 = 32119191451
BaseRepresentation
bin1111101111001…
…01110101110111
3100012101222101100
413313211311313
5232243412211
621033301143
73162044544
oct767456567
9305358340
10132013431
1168577710
12382647b3
1321472074
1413765bcb
15b8ca156
hex7de5d77

132013431 has 24 divisors (see below), whose sum is σ = 208391040. Its totient is φ = 79866000.

The previous prime is 132013417. The next prime is 132013457. The reversal of 132013431 is 134310231.

132013431 is a `hidden beast` number, since 1 + 320 + 1 + 343 + 1 = 666.

It is not a de Polignac number, because 132013431 - 27 = 132013303 is a prime.

It is a super-2 number, since 2×1320134312 = 34855091928783522, which contains 22 as substring.

132013431 is a modest number, since divided by 13431 gives 132 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90256 + ... + 91706.

It is an arithmetic number, because the mean of its divisors is an integer number (8682960).

Almost surely, 2132013431 is an apocalyptic number.

132013431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132013431 is a deficient number, since it is larger than the sum of its proper divisors (76377609).

132013431 is a wasteful number, since it uses less digits than its factorization.

132013431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2384 counting only the distinct ones).

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

The square root of 132013431 is about 11489.7097874576. The cubic root of 132013431 is about 509.1816055374.

Adding to 132013431 its reverse (134310231), we get a palindrome (266323662).

The spelling of 132013431 in words is "one hundred thirty-two million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 919 1451 2757 4353 8271 10109 13059 15961 30327 47883 90981 143649 1333469 4000407 12001221 14668159 44004477 132013431