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13145158631 = 1113750917137
BaseRepresentation
bin11000011111000001…
…10011001111100111
31020221002221020200002
430033200303033213
5203410130034011
610012214211515
7643515001433
oct141740631747
936832836602
1013145158631
115636110270
12266a353b9b
131316497097
148c9b539c3
1551e076c3b
hex30f8333e7

13145158631 has 16 divisors (see below), whose sum is σ = 14474069280. Its totient is φ = 11838919680.

The previous prime is 13145158619. The next prime is 13145158643. The reversal of 13145158631 is 13685154131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13145158619) and next prime (13145158643).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13145158631 is a prime.

It is a super-2 number, since 2×131451586312 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145158231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758495 + ... + 775631.

It is an arithmetic number, because the mean of its divisors is an integer number (904629330).

Almost surely, 213145158631 is an apocalyptic number.

13145158631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13145158631 is a deficient number, since it is larger than the sum of its proper divisors (1328910649).

13145158631 is a wasteful number, since it uses less digits than its factorization.

13145158631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17794.

The product of its digits is 43200, while the sum is 38.

The spelling of 13145158631 in words is "thirteen billion, one hundred forty-five million, one hundred fifty-eight thousand, six hundred thirty-one".

Divisors: 1 11 137 509 1507 5599 17137 69733 188507 767063 2347769 8722733 25825459 95950063 1195014421 13145158631