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10138827523 = 1121735313963
BaseRepresentation
bin10010111000101001…
…00011101100000011
3222011120222210200111
421130110203230003
5131231014440043
64354022132151
7506151416626
oct113424435403
928146883614
1010138827523
114333116200
121b6b581057
13c576a6c36
146c277ddbd
153e518209d
hex25c523b03

10138827523 has 24 divisors (see below), whose sum is σ = 11834154864. Its totient is φ = 8649738240.

The previous prime is 10138827521. The next prime is 10138827527. The reversal of 10138827523 is 32572883101.

It is a happy number.

It is not a de Polignac number, because 10138827523 - 21 = 10138827521 is a prime.

It is a super-2 number, since 2×101388275232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10138827521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719140 + ... + 733102.

It is an arithmetic number, because the mean of its divisors is an integer number (493089786).

Almost surely, 210138827523 is an apocalyptic number.

10138827523 is a deficient number, since it is larger than the sum of its proper divisors (1695327341).

10138827523 is a wasteful number, since it uses less digits than its factorization.

10138827523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10138827523 in words is "ten billion, one hundred thirty-eight million, eight hundred twenty-seven thousand, five hundred twenty-three".

Divisors: 1 11 17 121 187 353 2057 3883 6001 13963 42713 66011 153593 237371 726121 1689523 2611081 4928939 28721891 54218329 83791963 596401619 921711593 10138827523