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12813903 = 331727917
BaseRepresentation
bin110000111000…
…011001001111
3220010000101000
4300320121033
511240021103
61134351343
7213626214
oct60703117
926100330
1012813903
117262303
12435b553
1328685bb
1419b7b0b
1511d1aa3
hexc3864f

12813903 has 16 divisors (see below), whose sum is σ = 20100960. Its totient is φ = 8039808.

The previous prime is 12813901. The next prime is 12813917. The reversal of 12813903 is 30931821.

12813903 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 12813903 - 21 = 12813901 is a prime.

It is a super-2 number, since 2×128139032 = 328392220186818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13500 + ... + 14417.

It is an arithmetic number, because the mean of its divisors is an integer number (1256310).

Almost surely, 212813903 is an apocalyptic number.

12813903 is a deficient number, since it is larger than the sum of its proper divisors (7287057).

12813903 is a wasteful number, since it uses less digits than its factorization.

12813903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27943 (or 27937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12813903 is about 3579.6512399953. The cubic root of 12813903 is about 234.0060813673.

It can be divided in two parts, 1281 and 3903, that added together give a square (5184 = 722).

The spelling of 12813903 in words is "twelve million, eight hundred thirteen thousand, nine hundred three".

Divisors: 1 3 9 17 27 51 153 459 27917 83751 251253 474589 753759 1423767 4271301 12813903