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221100100000110 = 23254349564881071
BaseRepresentation
bin110010010001011011100000…
…111010111001100101101110
31001222211222000010022212022200
4302101123200322321211232
5212440001001100000420
62102123552252322330
764366645410136452
oct6221334072714556
91058758003285280
10221100100000110
11644a40314229a1
122096a8201733a6
13964a85ac91736
143c8543273a662
151a864c357ab90
hexc916e0eb996e

221100100000110 has 48 divisors (see below), whose sum is σ = 574992443188800. Its totient is φ = 58946469416640.

The previous prime is 221100100000099. The next prime is 221100100000133. The reversal of 221100100000110 is 11000001001122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 221100100000092 and 221100100000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282049126 + ... + 282831945.

It is an arithmetic number, because the mean of its divisors is an integer number (11979009233100).

Almost surely, 2221100100000110 is an apocalyptic number.

221100100000110 is an abundant number, since it is smaller than the sum of its proper divisors (353892343188690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221100100000110 is a wasteful number, since it uses less digits than its factorization.

221100100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564885433 (or 564885430 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221100100000110 its reverse (11000001001122), we get a palindrome (232100101001232).

The spelling of 221100100000110 in words is "two hundred twenty-one trillion, one hundred billion, one hundred million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4349 8698 13047 21745 26094 39141 43490 65235 78282 130470 195705 391410 564881071 1129762142 1694643213 2824405355 3389286426 5083929639 5648810710 8473216065 10167859278 16946432130 25419648195 50839296390 2456667777779 4913335555558 7370003333337 12283338888895 14740006666674 22110010000011 24566677777790 36850016666685 44220020000022 73700033333370 110550050000055 221100100000110