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133131010023 = 3311597597501
BaseRepresentation
bin111101111111100111…
…0011111111111100111
3110201122010111000221000
41323333032133333213
54140123014310043
6141054243324343
712422052625314
oct1737716377747
9421563430830
10133131010023
1151507a91320
12219753806b3
13c72876949b
14662d255d0b
1536e2b852d3
hex1eff39ffe7

133131010023 has 32 divisors (see below), whose sum is σ = 218808057600. Its totient is φ = 79317900000.

The previous prime is 133131010021. The next prime is 133131010027. The reversal of 133131010023 is 320010131331.

It is a happy number.

133131010023 is a `hidden beast` number, since 1 + 331 + 310 + 1 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 133131010023 - 21 = 133131010021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133131009978 and 133131010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3781228 + ... + 3816273.

It is an arithmetic number, because the mean of its divisors is an integer number (6837751800).

Almost surely, 2133131010023 is an apocalyptic number.

133131010023 is a deficient number, since it is larger than the sum of its proper divisors (85677047577).

133131010023 is a wasteful number, since it uses less digits than its factorization.

133131010023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597580 (or 7597574 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133131010023 its reverse (320010131331), we get a palindrome (453141141354).

The spelling of 133131010023 in words is "one hundred thirty-three billion, one hundred thirty-one million, ten thousand, twenty-three".

Divisors: 1 3 9 11 27 33 59 99 177 297 531 649 1593 1947 5841 17523 7597501 22792503 68377509 83572511 205132527 250717533 448252559 752152599 1344757677 2256457797 4034273031 4930778149 12102819093 14792334447 44377003341 133131010023