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131024004032313 = 32719611794431489
BaseRepresentation
bin11101110010101001100111…
…001101111010011100111001
3122011220202212010020220020200
4131302221213031322130321
5114133144130013013223
61142355332502112413
736412112651314140
oct3562514715723471
9564822763226220
10131024004032313
1138825a7153a957
12128413b5a1b709
13581568392c532
14244d84a5b0757
15102337d34aa43
hex772a6737a739

131024004032313 has 48 divisors (see below), whose sum is σ = 231409884950400. Its totient is φ = 69767496253440.

The previous prime is 131024004032303. The next prime is 131024004032333. The reversal of 131024004032313 is 313230400420131.

It is a happy number.

131024004032313 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 24 + 0 + 0 + 403 + 231 + 3 = 666.

It is not a de Polignac number, because 131024004032313 - 26 = 131024004032249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131024004032303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897142728 + ... + 897288761.

It is an arithmetic number, because the mean of its divisors is an integer number (4821039269800).

Almost surely, 2131024004032313 is an apocalyptic number.

It is an amenable number.

131024004032313 is a deficient number, since it is larger than the sum of its proper divisors (100385880918087).

131024004032313 is a wasteful number, since it uses less digits than its factorization.

131024004032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794431582 (or 1794431579 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131024004032313 its reverse (313230400420131), we get a palindrome (444254404452444).

The spelling of 131024004032313 in words is "one hundred thirty-one trillion, twenty-four billion, four million, thirty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 19 21 57 61 63 133 171 183 399 427 549 1159 1197 1281 3477 3843 8113 10431 24339 73017 1794431489 5383294467 12561020423 16149883401 34094198291 37683061269 102282594873 109460320829 113049183807 238659388037 306847784619 328380962487 715978164111 766222245803 985142887461 2079746095751 2147934492333 2298666737409 6239238287253 6896000212227 14558222670257 18717714861759 43674668010771 131024004032313