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13131185103 = 33486340189
BaseRepresentation
bin11000011101010110…
…11111101111001111
31020220010122022121000
430032223133233033
5203343040410403
610010554511343
7643255142331
oct141653375717
936803568530
1013131185103
1156292367a3
122665735553
131313613a1a
148c7d57451
1551cc167a3
hex30eadfbcf

13131185103 has 8 divisors (see below), whose sum is σ = 19453607600. Its totient is φ = 8754123384.

The previous prime is 13131185051. The next prime is 13131185113. The reversal of 13131185103 is 30158113131.

13131185103 is a `hidden beast` number, since 1 + 3 + 131 + 18 + 510 + 3 = 666.

It is not a de Polignac number, because 13131185103 - 214 = 13131168719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 486340189 = 13131185103 / (1 + 3 + 1 + 3 + 1 + 1 + 8 + 5 + 1 + 0 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131185113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243170068 + ... + 243170121.

It is an arithmetic number, because the mean of its divisors is an integer number (2431700950).

Almost surely, 213131185103 is an apocalyptic number.

13131185103 is a deficient number, since it is larger than the sum of its proper divisors (6322422497).

13131185103 is an equidigital number, since it uses as much as digits as its factorization.

13131185103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486340198 (or 486340192 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 13131185103 its reverse (30158113131), we get a palindrome (43289298234).

The spelling of 13131185103 in words is "thirteen billion, one hundred thirty-one million, one hundred eighty-five thousand, one hundred three".

Divisors: 1 3 9 27 486340189 1459020567 4377061701 13131185103