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131312532 = 223136471301
BaseRepresentation
bin1111101001110…
…10101110010100
3100011002100221010
413310322232110
5232104000112
621010252220
73153065241
oct764725624
9304070833
10131312532
116813905a
1237b87070
1321288030
14136225c8
15b7dc63c
hex7d3ab94

131312532 has 48 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 40310400.

The previous prime is 131312527. The next prime is 131312567. The reversal of 131312532 is 235213131.

It is a junction number, because it is equal to n+sod(n) for n = 131312499 and 131312508.

It is a congruent number.

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, 100282 + ... + 101582.

It is an arithmetic number, because the mean of its divisors is an integer number (6890184).

Almost surely, 2131312532 is an apocalyptic number.

131312532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131312532 is an abundant number, since it is smaller than the sum of its proper divisors (199416300).

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

131312532 is a wasteful number, since it uses less digits than its factorization.

131312532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1966 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 131312532 is about 11459.1680326278. The cubic root of 131312532 is about 508.2788732722.

Adding to 131312532 its reverse (235213131), we get a palindrome (366525663).

The spelling of 131312532 in words is "one hundred thirty-one million, three hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 647 1294 1301 1941 2588 2602 3882 3903 5204 7764 7806 8411 15612 16822 16913 25233 33644 33826 50466 50739 67652 100932 101478 202956 841747 1683494 2525241 3366988 5050482 10100964 10942711 21885422 32828133 43770844 65656266 131312532