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21105660681 = 3272103464647
BaseRepresentation
bin10011101001111111…
…101101001100001001
32000110220000122120100
4103221333231030021
5321211022120211
613410143320013
71345006104300
oct235177551411
960426018510
1021105660681
118a50660286
1241102b0009
131cb478b021
141043099437
15837d6e156
hex4e9fed309

21105660681 has 36 divisors (see below), whose sum is σ = 35807633472. Its totient is φ = 11943260784.

The previous prime is 21105660679. The next prime is 21105660749. The reversal of 21105660681 is 18606650112.

21105660681 is a `hidden beast` number, since 2 + 1 + 10 + 566 + 0 + 6 + 81 = 666.

It is not a de Polignac number, because 21105660681 - 21 = 21105660679 is a prime.

It is a super-2 number, since 2×211056606812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21105664681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186901 + ... + 277746.

Almost surely, 221105660681 is an apocalyptic number.

21105660681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21105660681 is a deficient number, since it is larger than the sum of its proper divisors (14701972791).

21105660681 is a wasteful number, since it uses less digits than its factorization.

21105660681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464770 (or 464760 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21105660681 in words is "twenty-one billion, one hundred five million, six hundred sixty thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 103 147 309 441 721 927 2163 5047 6489 15141 45423 464647 1393941 3252529 4181823 9757587 22767703 29272761 47858641 68303109 143575923 204909327 335010487 430727769 1005031461 2345073409 3015094383 7035220227 21105660681