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135941326313 = 1361457375113
BaseRepresentation
bin111111010011010111…
…1000000010111101001
3110222212222120220010112
41332212233000113221
54211401434420223
6142241154224105
712551516131262
oct1764657002751
9428788526115
10135941326313
115271a375571
122241a585035
13ca85a69230
1468185a3969
15380975b778
hex1fa6bc05e9

135941326313 has 16 divisors (see below), whose sum is σ = 149124320016. Its totient is φ = 123156771840.

The previous prime is 135941326307. The next prime is 135941326351. The reversal of 135941326313 is 313623149531.

It can be written as a sum of positive squares in 8 ways, for example, as 3424941529 + 132516384784 = 58523^2 + 364028^2 .

It is a cyclic number.

It is not a de Polignac number, because 135941326313 - 226 = 135874217449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135941326613) 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, 174845 + ... + 549957.

It is an arithmetic number, because the mean of its divisors is an integer number (9320270001).

Almost surely, 2135941326313 is an apocalyptic number.

135941326313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135941326313 is a deficient number, since it is larger than the sum of its proper divisors (13182993703).

135941326313 is a wasteful number, since it uses less digits than its factorization.

135941326313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375644.

The product of its digits is 174960, while the sum is 41.

The spelling of 135941326313 in words is "one hundred thirty-five billion, nine hundred forty-one million, three hundred twenty-six thousand, three hundred thirteen".

Divisors: 1 13 61 457 793 5941 27877 362401 375113 4876469 22881893 171426641 297464609 2228546333 10457025101 135941326313