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10013513103 = 3211101146597
BaseRepresentation
bin10010101001101101…
…00001010110001111
3221211212012011121200
421110312201112033
5131001424404403
64333344200543
7503100312516
oct112466412617
927755164550
1010013513103
114279404670
121b35609153
13c3773c0a9
146adc7d67d
153d917bca3
hex254da158f

10013513103 has 12 divisors (see below), whose sum is σ = 15778869288. Its totient is φ = 6068795760.

The previous prime is 10013513063. The next prime is 10013513113. The reversal of 10013513103 is 30131531001.

10013513103 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 351 + 310 + 3 = 666.

10013513103 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 10013513103 - 210 = 10013512079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013513113) 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 11 ways as a sum of consecutive naturals, for example, 50573200 + ... + 50573397.

It is an arithmetic number, because the mean of its divisors is an integer number (1314905774).

Almost surely, 210013513103 is an apocalyptic number.

10013513103 is a deficient number, since it is larger than the sum of its proper divisors (5765356185).

10013513103 is a wasteful number, since it uses less digits than its factorization.

10013513103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101146614 (or 101146611 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The spelling of 10013513103 in words is "ten billion, thirteen million, five hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 11 33 99 101146597 303439791 910319373 1112612567 3337837701 10013513103