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21700733131 = 7111959924763
BaseRepresentation
bin10100001101011101…
…101110100011001011
32002000100202110111201
4110031131232203023
5323420341430011
613545202005031
71365523121350
oct241535564313
962010673451
1021700733131
119226552aa0
124257646777
13207ab4cabc
14109c11c627
15870216cc1
hex50d76e8cb

21700733131 has 32 divisors (see below), whose sum is σ = 28528128000. Its totient is φ = 15992290080.

The previous prime is 21700733107. The next prime is 21700733177. The reversal of 21700733131 is 13133700712.

It is a cyclic number.

It is not a de Polignac number, because 21700733131 - 211 = 21700731083 is a prime.

It is a super-2 number, since 2×217007331312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21700733131.

It is not an unprimeable number, because it can be changed into a prime (21700733191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863956 + ... + 888718.

It is an arithmetic number, because the mean of its divisors is an integer number (891504000).

Almost surely, 221700733131 is an apocalyptic number.

21700733131 is a deficient number, since it is larger than the sum of its proper divisors (6827394869).

21700733131 is a wasteful number, since it uses less digits than its factorization.

21700733131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25399.

The product of its (nonzero) digits is 2646, while the sum is 28.

The spelling of 21700733131 in words is "twenty-one billion, seven hundred million, seven hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 11 19 77 133 209 599 1463 4193 6589 11381 24763 46123 79667 125191 173341 272393 470497 876337 1906751 3293479 5175467 14833037 36228269 103831259 163163407 281827703 1142143849 1972793921 3100104733 21700733131