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131020431010344 = 23329376119408157
BaseRepresentation
bin11101110010100110010010…
…001111111010101000101000
3122011220102122002222120112200
4131302212102033322220220
5114133114320314312334
61142353542143540200
736411625264163361
oct3562462217725050
9564812562876480
10131020431010344
11388244a8678637
12128407792ba660
135815234606a55
14244d5cbc44b68
15102321e817799
hex7729923faa28

131020431010344 has 48 divisors (see below), whose sum is σ = 354850803527220. Its totient is φ = 43673008957440.

The previous prime is 131020431010237. The next prime is 131020431010349. The reversal of 131020431010344 is 443010134020131.

131020431010344 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 0 + 4 + 310 + 1 + 0 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129797942552100 + 1222488458244 = 11392890^2 + 1105662^2 .

It is not an unprimeable number, because it can be changed into a prime (131020431010349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2953287 + ... + 16454870.

Almost surely, 2131020431010344 is an apocalyptic number.

It is an amenable number.

131020431010344 is an abundant number, since it is smaller than the sum of its proper divisors (223830372516876).

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

131020431010344 is a wasteful number, since it uses less digits than its factorization.

131020431010344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19501930 (or 19501923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131020431010344 its reverse (443010134020131), we get a palindrome (574030565030475).

The spelling of 131020431010344 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty-one million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 93761 187522 281283 375044 562566 750088 843849 1125132 1687698 2250264 3375396 6750792 19408157 38816314 58224471 77632628 116448942 155265256 174673413 232897884 349346826 465795768 698693652 1397387304 1819728208477 3639456416954 5459184625431 7278912833908 10918369250862 14557825667816 16377553876293 21836738501724 32755107752586 43673477003448 65510215505172 131020431010344