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13213432023 = 31129109197643
BaseRepresentation
bin11000100111001010…
…01111100011010111
31021002212101220011020
430103211033203113
5204030114311043
610023053412223
7645304214301
oct142345174327
937085356136
1013213432023
115670702060
12268919a073
13132767ca3c
148d4c46971
15525060e83
hex31394f8d7

13213432023 has 64 divisors (see below), whose sum is σ = 20197900800. Its totient is φ = 7610319360.

The previous prime is 13213432009. The next prime is 13213432201. The reversal of 13213432023 is 32023431231.

It is not a de Polignac number, because 13213432023 - 229 = 12676561111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13213431984 and 13213432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213432003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20549340 + ... + 20549982.

It is an arithmetic number, because the mean of its divisors is an integer number (315592200).

Almost surely, 213213432023 is an apocalyptic number.

13213432023 is a deficient number, since it is larger than the sum of its proper divisors (6984468777).

13213432023 is a wasteful number, since it uses less digits than its factorization.

13213432023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13213432023 its reverse (32023431231), we get a palindrome (45236863254).

The spelling of 13213432023 in words is "thirteen billion, two hundred thirteen million, four hundred thirty-two thousand, twenty-three".

Divisors: 1 3 11 29 33 87 109 197 319 327 591 643 957 1199 1929 2167 3161 3597 5713 6501 7073 9483 17139 18647 21219 21473 34771 55941 62843 64419 70087 104313 126671 188529 205117 210261 236203 380013 615351 622717 708609 770957 1393381 1868151 2032523 2312871 3673459 4180143 6097569 6849887 11020377 13807139 20549661 22357753 40408049 41421417 67073259 121224147 151878529 400407031 455635587 1201221093 4404477341 13213432023