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1313983056681 = 32107235712
BaseRepresentation
bin10011000111101111011…
…111100100101100101001
311122121121201221022221100
4103013233133210230221
5133012014130303211
62443345133032013
7163634503461441
oct23075737445451
94577551838840
101313983056681
114672911a8689
121927aa325609
1396ba6053289
14478506d1121
15242a680d156
hex131ef7e4b29

1313983056681 has 27 divisors (see below), whose sum is σ = 1916416052733. Its totient is φ = 867558880440.

The previous prime is 1313983056653. The next prime is 1313983056707. The reversal of 1313983056681 is 1866503893131.

The square root of 1313983056681 is 1146291.

It is a perfect power (a square), and thus also a powerful number.

1313983056681 is a `hidden beast` number, since 13 + 1 + 39 + 8 + 30 + 566 + 8 + 1 = 666.

It is not a de Polignac number, because 1313983056681 - 211 = 1313983054633 is a prime.

It is a super-2 number, since 2×13139830566812 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1313983051681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 367957626 + ... + 367961196.

Almost surely, 21313983056681 is an apocalyptic number.

1313983056681 is the 1146291-st square number.

1313983056681 is the 573146-th centered octagonal number.

It is an amenable number.

1313983056681 is a deficient number, since it is larger than the sum of its proper divisors (602432996052).

1313983056681 is an frugal number, since it uses more digits than its factorization.

1313983056681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1313983056681 in words is "one trillion, three hundred thirteen billion, nine hundred eighty-three million, fifty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 107 321 963 3571 10713 11449 32139 34347 103041 382097 1146291 3438873 12752041 38256123 40884379 114768369 122653137 367959411 1364468387 4093405161 12280215483 145998117409 437994352227 1313983056681