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13213210023 = 331337644473
BaseRepresentation
bin11000100111001000…
…11001010110100111
31021002211222121122000
430103210121112213
5204030040210043
610023044540343
7645302301126
oct142344312647
937084877560
1013213210023
115670570292
1226890b16b3
131327602990
148d4bc9abd
1552501a2d3
hex3139195a7

13213210023 has 16 divisors (see below), whose sum is σ = 21080905440. Its totient is φ = 8131205952.

The previous prime is 13213210007. The next prime is 13213210051. The reversal of 13213210023 is 32001231231.

13213210023 is a `hidden beast` number, since 1 + 321 + 321 + 0 + 0 + 23 = 666.

13213210023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13213210023 - 24 = 13213210007 is a prime.

It is a super-2 number, since 2×132132100232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13213209978 and 13213210005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213210123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18821886 + ... + 18822587.

It is an arithmetic number, because the mean of its divisors is an integer number (1317556590).

Almost surely, 213213210023 is an apocalyptic number.

13213210023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13213210023 is a deficient number, since it is larger than the sum of its proper divisors (7867695417).

13213210023 is a wasteful number, since it uses less digits than its factorization.

13213210023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37644495 (or 37644489 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13213210023 its reverse (32001231231), we get a palindrome (45214441254).

The spelling of 13213210023 in words is "thirteen billion, two hundred thirteen million, two hundred ten thousand, twenty-three".

Divisors: 1 3 9 13 27 39 117 351 37644473 112933419 338800257 489378149 1016400771 1468134447 4404403341 13213210023