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12311102002221 = 3311198945753639
BaseRepresentation
bin1011001100100110011011…
…0111001001010000101101
31121120221002212101021112000
42303021212313021100231
53103201114103032341
642103350413402513
72410306404262311
oct263114667112055
947527085337460
1012311102002221
113a17122148750
121469b83199439
136b3c1660aa79
14307c09383b41
151653900bb8b6
hexb3266dc942d

12311102002221 has 128 divisors (see below), whose sum is σ = 21225991680000. Its totient is φ = 6973729551360.

The previous prime is 12311102002169. The next prime is 12311102002229. The reversal of 12311102002221 is 12220020111321.

12311102002221 is a `hidden beast` number, since 1 + 231 + 1 + 10 + 200 + 2 + 221 = 666.

12311102002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12311102002221 - 27 = 12311102002093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12311102002194 and 12311102002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311102002229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229490920 + ... + 229544558.

It is an arithmetic number, because the mean of its divisors is an integer number (165828060000).

Almost surely, 212311102002221 is an apocalyptic number.

12311102002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311102002221 is a deficient number, since it is larger than the sum of its proper divisors (8914889677779).

12311102002221 is a wasteful number, since it uses less digits than its factorization.

12311102002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54224 (or 54218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12311102002221 its reverse (12220020111321), we get a palindrome (24531122113542).

The spelling of 12311102002221 in words is "twelve trillion, three hundred eleven billion, one hundred two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 27 33 57 89 99 171 209 267 297 457 513 627 801 979 1371 1691 1881 2403 2937 4113 5027 5073 5643 8683 8811 12339 15081 15219 18601 26049 26433 40673 45243 45657 53639 55803 78147 95513 122019 135729 160917 167409 234441 286539 366057 447403 482751 502227 590029 772787 859617 1019141 1098171 1342209 1448253 1770087 2318361 2578851 3057423 4026627 4773871 5310261 6955083 8500657 9172269 11210551 12079881 14321613 15930783 20865249 24513023 25501971 27516807 33631653 42964839 52512581 73539069 76505913 90703549 100894959 128894517 157537743 220617207 229517739 269643253 272110647 302684877 465747437 472613229 661851621 808929759 816331941 997739039 1397242311 1417839687 2181659047 2426789277 2448995823 2993217117 4191726933 5123221807 6544977141 7280367831 8979651351 12575180799 15369665421 19634931423 23998249517 26938954053 41451521893 46108996263 58904794269 71994748551 124354565679 138326988789 215984245653 373063697037 455966740823 647952736959 1119191091111 1367900222469 4103700667407 12311102002221