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13103430131 = 11365914939
BaseRepresentation
bin11000011010000011…
…00111100111110011
31020211012102012221002
430031001213213303
5203313434231011
610004123552215
7642500214131
oct141501474763
936735365832
1013103430131
1156145aa000
12265838b66b
13130a94686c
148c43b0751
1551a582c3b
hex30d0679f3

13103430131 has 16 divisors (see below), whose sum is σ = 14435625600. Its totient is φ = 11893336840.

The previous prime is 13103430127. The next prime is 13103430149.

13103430131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13103430131 - 22 = 13103430127 is a prime.

It is a super-2 number, since 2×131034301312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13103430931) 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, 869660 + ... + 884598.

It is an arithmetic number, because the mean of its divisors is an integer number (902226600).

Almost surely, 213103430131 is an apocalyptic number.

13103430131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13103430131 is a deficient number, since it is larger than the sum of its proper divisors (1332195469).

13103430131 is an equidigital number, since it uses as much as digits as its factorization.

13103430131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15631 (or 15609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 13103430131 in words is "thirteen billion, one hundred three million, four hundred thirty thousand, one hundred thirty-one".

Divisors: 1 11 121 659 1331 7249 14939 79739 164329 877129 1807619 9844801 19883809 108292811 1191220921 13103430131