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21212211202002 = 235227577333233
BaseRepresentation
bin1001101001010110110100…
…10100000100011111010010
32210002212102110200221200000
410310223122110010133102
510240020102031431002
6113040431051110430
74316350240152642
oct464533224043722
983085373627600
1021212211202002
116839059249a07
12246709a742416
13bab3c2710252
14534968460522
1526bba1b1061c
hex134ada5047d2

21212211202002 has 96 divisors (see below), whose sum is σ = 47955081125952. Its totient is φ = 7027367030784.

The previous prime is 21212211201997. The next prime is 21212211202019. The reversal of 21212211202002 is 20020211221212.

It is a happy number.

21212211202002 is a `hidden beast` number, since 2 + 121 + 221 + 120 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63489178 + ... + 63822410.

It is an arithmetic number, because the mean of its divisors is an integer number (499532095062).

Almost surely, 221212211202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212211202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23977540562976).

21212211202002 is an abundant number, since it is smaller than the sum of its proper divisors (26742869923950).

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

21212211202002 is a wasteful number, since it uses less digits than its factorization.

21212211202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334054 (or 334042 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21212211202002 its reverse (20020211221212), we get a palindrome (41232422423214).

The spelling of 21212211202002 in words is "twenty-one trillion, two hundred twelve billion, two hundred eleven million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 243 454 486 577 681 1154 1362 1731 2043 3462 4086 5193 6129 10386 12258 15579 18387 31158 36774 46737 55161 93474 110322 130979 140211 261958 280422 333233 392937 666466 785874 999699 1178811 1999398 2357622 2999097 3536433 5998194 7072866 8997291 10609299 17994582 21218598 26991873 31827897 53983746 63655794 75643891 80975619 151287782 161951238 192275441 226931673 384550882 453863346 576826323 680795019 1153652646 1361590038 1730478969 2042385057 3460957938 4084770114 5191436907 6127155171 10382873814 12254310342 15574310721 18381465513 31148621442 36762931026 43646525107 46722932163 87293050214 93445864326 130939575321 261879150642 392818725963 785637451926 1178456177889 2356912355778 3535368533667 7070737067334 10606105601001 21212211202002