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10113657653 = 11103139149431
BaseRepresentation
bin10010110101101001…
…00010101100110101
3222002211122001010002
421122310202230311
5131203044021103
64351322441045
7505424446241
oct113264425465
928084561102
1010113657653
11431a994760
121b63063185
13c52403618
146bd2ab421
153e2d5e488
hex25ad22b35

10113657653 has 32 divisors (see below), whose sum is σ = 11321856000. Its totient is φ = 8957966400.

The previous prime is 10113657599. The next prime is 10113657683. The reversal of 10113657653 is 35675631101.

It is a happy number.

10113657653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10113657653 - 28 = 10113657397 is a prime.

It is a super-2 number, since 2×101136576532 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113657683) 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 31 ways as a sum of consecutive naturals, for example, 23465348 + ... + 23465778.

It is an arithmetic number, because the mean of its divisors is an integer number (353808000).

Almost surely, 210113657653 is an apocalyptic number.

It is an amenable number.

10113657653 is a deficient number, since it is larger than the sum of its proper divisors (1208198347).

10113657653 is a wasteful number, since it uses less digits than its factorization.

10113657653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 56700, while the sum is 38.

It can be divided in two parts, 10113 and 657653, that added together give a palindrome (667766).

The spelling of 10113657653 in words is "ten billion, one hundred thirteen million, six hundred fifty-seven thousand, six hundred fifty-three".

Divisors: 1 11 103 139 149 431 1133 1529 1639 4741 14317 15347 20711 44393 59909 64219 157487 168817 227821 488323 658999 706409 2133233 6170627 6614557 8926441 23465563 67876897 72760127 98190851 919423423 10113657653