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13318813431 = 3272112745581
BaseRepresentation
bin11000110011101110…
…01111011011110111
31021101012200211021100
430121313033123313
5204234104012211
610041340221143
7651024021600
oct143167173367
937335624240
1013318813431
115715139730
1226b853a7b3
131343458ac1
14904c38da7
1552e42a156
hex319dcf6f7

13318813431 has 36 divisors (see below), whose sum is σ = 24413715144. Its totient is φ = 6918861600.

The previous prime is 13318813429. The next prime is 13318813457. The reversal of 13318813431 is 13431881331.

13318813431 is a `hidden beast` number, since 1 + 33 + 188 + 13 + 431 = 666.

It is not a de Polignac number, because 13318813431 - 21 = 13318813429 is a prime.

It is a super-2 number, since 2×133188134312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318813411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1367940 + ... + 1377641.

It is an arithmetic number, because the mean of its divisors is an integer number (678158754).

Almost surely, 213318813431 is an apocalyptic number.

13318813431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13318813431 is a deficient number, since it is larger than the sum of its proper divisors (11094901713).

13318813431 is a wasteful number, since it uses less digits than its factorization.

13318813431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745612 (or 2745602 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 13318813431 in words is "thirteen billion, three hundred eighteen million, eight hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 2745581 8236743 19219067 24710229 30201391 57657201 90604173 134533469 172971603 211409737 271812519 403600407 634229211 1210801221 1479868159 1902687633 4439604477 13318813431