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21611317320441 = 3220921311477573
BaseRepresentation
bin1001110100111110001101…
…11001000101101011111001
32211112000120212021102200100
410322133012321011223321
510313034434213223231
6113544034020230013
74360236406200162
oct472370671055371
984460525242610
1021611317320441
116982343248912
12251050253b309
13c09c27ab7a94
14549dc9a1a769
1527725ecda1e6
hex13a7c6e45af9

21611317320441 has 12 divisors (see below), whose sum is σ = 31216499168868. Its totient is φ = 14407474759584.

The previous prime is 21611317320421. The next prime is 21611317320443. The reversal of 21611317320441 is 14402371311612.

21611317320441 is a `hidden beast` number, since 2 + 1 + 6 + 11 + 317 + 320 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1061732403216 + 20549584917225 = 1030404^2 + 4533165^2 .

It is not a de Polignac number, because 21611317320441 - 217 = 21611317189369 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21611317320396 and 21611317320405.

It is not an unprimeable number, because it can be changed into a prime (21611317320443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3855870 + ... + 7621703.

It is an arithmetic number, because the mean of its divisors is an integer number (2601374930739).

Almost surely, 221611317320441 is an apocalyptic number.

It is an amenable number.

21611317320441 is a deficient number, since it is larger than the sum of its proper divisors (9605181848427).

21611317320441 is a wasteful number, since it uses less digits than its factorization.

21611317320441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686792 (or 11686789 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21611317320441 in words is "twenty-one trillion, six hundred eleven billion, three hundred seventeen million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 209213 627639 1882917 11477573 34432719 103298157 2401257480049 7203772440147 21611317320441