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13257501003 = 3229411238903
BaseRepresentation
bin11000101100011010…
…10110100101001011
31021012221022211102200
430112031112211023
5204122410013003
610031310131243
7646350620265
oct142615264513
937187284380
1013257501003
1156935717aa
12269bab0b23
13133383c666
148daa38b35
15528d686a3
hex31635694b

13257501003 has 24 divisors (see below), whose sum is σ = 20293247520. Its totient is φ = 8325421440.

The previous prime is 13257500989. The next prime is 13257501007. The reversal of 13257501003 is 30010575231.

13257501003 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 13257501003 - 213 = 13257492811 is a prime.

It is a super-2 number, since 2×132575010032 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13257501007) 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 23 ways as a sum of consecutive naturals, for example, 608751 + ... + 630152.

It is an arithmetic number, because the mean of its divisors is an integer number (845551980).

Almost surely, 213257501003 is an apocalyptic number.

13257501003 is a deficient number, since it is larger than the sum of its proper divisors (7035746517).

13257501003 is a wasteful number, since it uses less digits than its factorization.

13257501003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238979 (or 1238976 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 13257501003 in words is "thirteen billion, two hundred fifty-seven million, five hundred one thousand, three".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 1238903 3716709 11150127 35928187 50795023 107784561 152385069 323353683 457155207 1473055667 4419167001 13257501003