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13102304163 = 3132314717737
BaseRepresentation
bin11000011001111010…
…10100101110100011
31020211010022000101120
430030331110232203
5203313142213123
610004043503323
7642454514334
oct141475245643
936733260346
1013102304163
115613a00053
122657b27b43
13130a641200
148c419a28b
1551a40e2e3
hex30cf54ba3

13102304163 has 48 divisors (see below), whose sum is σ = 19943755776. Its totient is φ = 7636412160.

The previous prime is 13102304153. The next prime is 13102304167. The reversal of 13102304163 is 36140320131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-13102304163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13102304167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729831 + ... + 747567.

It is an arithmetic number, because the mean of its divisors is an integer number (415494912).

Almost surely, 213102304163 is an apocalyptic number.

13102304163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13102304163 is a deficient number, since it is larger than the sum of its proper divisors (6841451613).

13102304163 is a wasteful number, since it uses less digits than its factorization.

13102304163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17844 (or 17831 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13102304163 its reverse (36140320131), we get a palindrome (49242624294).

The spelling of 13102304163 in words is "thirteen billion, one hundred two million, three hundred four thousand, one hundred sixty-three".

Divisors: 1 3 13 31 39 47 93 141 169 403 507 611 1209 1457 1833 4371 5239 7943 15717 17737 18941 23829 53211 56823 230581 246233 549847 691743 738699 833639 1649541 2500917 2997553 7148011 8992659 10837307 21444033 25842809 32511921 77528427 92924143 140884991 278772429 335956517 422654973 1007869551 4367434721 13102304163