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1313135593 = 711612631063
BaseRepresentation
bin100111001000100…
…1101101111101001
310101111220012101121
41032101031233221
510142130314333
6334145015241
744353316440
oct11621155751
93344805347
101313135593
1161425a230
12307924521
1317c086b13
14c657dd57
157a43732d
hex4e44dbe9

1313135593 has 32 divisors (see below), whose sum is σ = 1671892992. Its totient is φ = 1001678400.

The previous prime is 1313135561. The next prime is 1313135623. The reversal of 1313135593 is 3955313131.

It is a cyclic number.

It is not a de Polignac number, because 1313135593 - 25 = 1313135561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313135893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234780 + ... + 1235842.

It is an arithmetic number, because the mean of its divisors is an integer number (52246656).

Almost surely, 21313135593 is an apocalyptic number.

It is an amenable number.

1313135593 is a deficient number, since it is larger than the sum of its proper divisors (358757399).

1313135593 is a wasteful number, since it uses less digits than its factorization.

1313135593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405.

The product of its digits is 18225, while the sum is 34.

The square root of 1313135593 is about 36237.2128205247. The cubic root of 1313135593 is about 1095.0564924323.

The spelling of 1313135593 in words is "one billion, three hundred thirteen million, one hundred thirty-five thousand, five hundred ninety-three".

Divisors: 1 7 11 61 77 263 427 671 1063 1841 2893 4697 7441 11693 16043 20251 64843 81851 112301 176473 279569 453901 713273 1235311 1956983 3075259 4992911 17053709 21526813 119375963 187590799 1313135593