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12903 = 3111723
BaseRepresentation
bin11001001100111
3122200220
43021213
5403103
6135423
752422
oct31147
918626
1012903
119770
127573
135b47
1449b9
153c53
hex3267

12903 has 16 divisors (see below), whose sum is σ = 20736. Its totient is φ = 7040.

The previous prime is 12899. The next prime is 12907. The reversal of 12903 is 30921.

It is an interprime number because it is at equal distance from previous prime (12899) and next prime (12907).

It is not a de Polignac number, because 12903 - 22 = 12899 is a prime.

It is an alternating number because its digits alternate between odd and even.

12903 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12907) 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, 550 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (1296).

212903 is an apocalyptic number.

12903 is a deficient number, since it is larger than the sum of its proper divisors (7833).

12903 is a wasteful number, since it uses less digits than its factorization.

12903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 12903 is about 113.5913729119. The cubic root of 12903 is about 23.4547189022.

The spelling of 12903 in words is "twelve thousand, nine hundred three".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 12903