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131131230432 = 2531365950317
BaseRepresentation
bin111101000100000000…
…1111100100011100000
3110112110202112201001020
41322020001330203200
54122024043333212
6140124005205440
712321361032156
oct1721001744340
9415422481036
10131131230432
1150681185314
12214b7700880
13c49a36b557
1464bd8173d6
153627317d8c
hex1e8807c8e0

131131230432 has 24 divisors (see below), whose sum is σ = 344219480136. Its totient is φ = 43710410112.

The previous prime is 131131230397. The next prime is 131131230437. The reversal of 131131230432 is 234032131131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1311312304322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131230437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 682975063 + ... + 682975254.

It is an arithmetic number, because the mean of its divisors is an integer number (14342478339).

Almost surely, 2131131230432 is an apocalyptic number.

131131230432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131131230432 is an abundant number, since it is smaller than the sum of its proper divisors (213088249704).

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

131131230432 is a wasteful number, since it uses less digits than its factorization.

131131230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365950330 (or 1365950322 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131131230432 its reverse (234032131131), we get a palindrome (365163361563).

The spelling of 131131230432 in words is "one hundred thirty-one billion, one hundred thirty-one million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1365950317 2731900634 4097850951 5463801268 8195701902 10927602536 16391403804 21855205072 32782807608 43710410144 65565615216 131131230432