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131024004032232 = 23321819777833781
BaseRepresentation
bin11101110010101001100111…
…001101111010011011101000
3122011220202212010020220010200
4131302221213031322123220
5114133144130013012412
61142355332502112200
736412112651313663
oct3562514715723350
9564822763226120
10131024004032232
1138825a7153a893
12128413b5a1b660
13581568392c49c
14244d84a5b06da
15102337d34a9dc
hex772a6737a6e8

131024004032232 has 24 divisors (see below), whose sum is σ = 354856677587490. Its totient is φ = 43674668010720.

The previous prime is 131024004032213. The next prime is 131024004032249. The reversal of 131024004032232 is 232230400420131.

131024004032232 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 24 + 0 + 0 + 403 + 2 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80689150805796 + 50334853226436 = 8982714^2 + 7094706^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131024004032196 and 131024004032205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909888916819 + ... + 909888916962.

Almost surely, 2131024004032232 is an apocalyptic number.

131024004032232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131024004032232 is an abundant number, since it is smaller than the sum of its proper divisors (223832673555258).

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

131024004032232 is a wasteful number, since it uses less digits than its factorization.

131024004032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819777833793 (or 1819777833786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131024004032232 its reverse (232230400420131), we get a palindrome (363254404452363).

The spelling of 131024004032232 in words is "one hundred thirty-one trillion, twenty-four billion, four million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1819777833781 3639555667562 5459333501343 7279111335124 10918667002686 14558222670248 16378000504029 21837334005372 32756001008058 43674668010744 65512002016116 131024004032232