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13125440145135 = 352948016284821
BaseRepresentation
bin1011111100000000000100…
…1100101000011011101111
31201110210001111021010221210
42333000001030220123233
53210021400134121020
643525424410125503
72523165433264263
oct277000114503357
951423044233853
1013125440145135
11420051686742a
12157b96b420893
13742953c5a576
143353bba840a3
1517b6520373e0
hexbf0013286ef

13125440145135 has 32 divisors (see below), whose sum is σ = 21729394975680. Its totient is φ = 6757438464000.

The previous prime is 13125440145043. The next prime is 13125440145143. The reversal of 13125440145135 is 53154104452131.

It is not a de Polignac number, because 13125440145135 - 210 = 13125440144111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13125440145093 and 13125440145102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053976 + ... + 5230845.

It is an arithmetic number, because the mean of its divisors is an integer number (679043592990).

Almost surely, 213125440145135 is an apocalyptic number.

13125440145135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13125440145135 is a deficient number, since it is larger than the sum of its proper divisors (8603954830545).

13125440145135 is a wasteful number, since it uses less digits than its factorization.

13125440145135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289659.

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 13125440145135 its reverse (53154104452131), we get a palindrome (66279544597266).

The spelling of 13125440145135 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty million, one hundred forty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 15 29 87 145 435 4801 14403 24005 72015 139229 417687 696145 2088435 6284821 18854463 31424105 94272315 182259809 546779427 911299045 2733897135 30173425621 90520276863 150867128105 452601384315 875029343009 2625088029027 4375146715045 13125440145135