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10023232113 = 3317181120647
BaseRepresentation
bin10010101010110111…
…00110001001110001
3221212112110221121000
421111123212021301
5131011421411423
64334332352213
7503246032026
oct112533461161
927775427530
1010023232113
114283942704
121b38915669
13c39762a9b
146b128d54d
153d9e4b843
hex2556e6271

10023232113 has 32 divisors (see below), whose sum is σ = 15809713920. Its totient is φ = 6254288640.

The previous prime is 10023232027. The next prime is 10023232133. The reversal of 10023232113 is 31123232001.

10023232113 is a `hidden beast` number, since 100 + 232 + 321 + 13 = 666.

10023232113 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 10023232113 - 28 = 10023231857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10023232133) 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, 22756 + ... + 143402.

It is an arithmetic number, because the mean of its divisors is an integer number (494053560).

Almost surely, 210023232113 is an apocalyptic number.

It is an amenable number.

10023232113 is a deficient number, since it is larger than the sum of its proper divisors (5786481807).

10023232113 is a wasteful number, since it uses less digits than its factorization.

10023232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120854 (or 120848 counting only the distinct ones).

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

Adding to 10023232113 its reverse (31123232001), we get a palindrome (41146464114).

The spelling of 10023232113 in words is "ten billion, twenty-three million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 17 27 51 153 181 459 543 1629 3077 4887 9231 27693 83079 120647 361941 1085823 2050999 3257469 6152997 18458991 21837107 55376973 65511321 196533963 371230819 589601889 1113692457 3341077371 10023232113