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13153044035131 = 7111319966029669
BaseRepresentation
bin1011111101100110111010…
…0001000111011000111011
31201120102022020212001022221
42333121232201013120323
53210444413233111011
643550231445224511
72525163456420550
oct277315641073073
951512266761287
1013153044035131
1142111a1505560
121585193a02137
13745432a994a0
14336879ba2a27
1517c21a607971
hexbf66e84763b

13153044035131 has 32 divisors (see below), whose sum is σ = 17748775296000. Its totient is φ = 9413189470080.

The previous prime is 13153044035111. The next prime is 13153044035141.

13153044035131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13153044035131 - 29 = 13153044034619 is a prime.

It is a super-2 number, since 2×131530440351312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13153044035111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32815636 + ... + 33214033.

It is an arithmetic number, because the mean of its divisors is an integer number (554649228000).

Almost surely, 213153044035131 is an apocalyptic number.

13153044035131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13153044035131 is a deficient number, since it is larger than the sum of its proper divisors (4595731260869).

13153044035131 is a wasteful number, since it uses less digits than its factorization.

13153044035131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66029899.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 13153044035131 in words is "thirteen trillion, one hundred fifty-three billion, forty-four million, thirty-five thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 199 1001 1393 2189 2587 15323 18109 28457 199199 66029669 462207683 726326359 858385697 5084284513 6008699879 9442242667 13139904131 66095698669 91979328917 144538945441 170818753703 1011772618087 1195731275921 1879006290733 13153044035131