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21835390122 = 23271359225941
BaseRepresentation
bin10100010101011111…
…011001110010101010
32002100202010202011200
4110111133121302222
5324204324440442
614010412105030
71402046516340
oct242537316252
962322122150
1021835390122
119295565867
124294765176
13209ca091b0
1410b1d71990
1587be6534c
hex5157d9caa

21835390122 has 96 divisors (see below), whose sum is σ = 59214879360. Its totient is φ = 5661152640.

The previous prime is 21835390117. The next prime is 21835390127. The reversal of 21835390122 is 22109353812.

21835390122 is a `hidden beast` number, since 21 + 83 + 539 + 0 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (21835390117) and next prime (21835390127).

It is not an unprimeable number, because it can be changed into a prime (21835390127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16329 + ... + 209612.

It is an arithmetic number, because the mean of its divisors is an integer number (616821660).

Almost surely, 221835390122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21835390122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29607439680).

21835390122 is an abundant number, since it is smaller than the sum of its proper divisors (37379489238).

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

21835390122 is a wasteful number, since it uses less digits than its factorization.

21835390122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226028 (or 226025 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21835390122 in words is "twenty-one billion, eight hundred thirty-five million, three hundred ninety thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 59 63 78 91 117 118 126 177 182 234 273 354 413 531 546 767 819 826 1062 1239 1534 1638 2301 2478 3717 4602 5369 6903 7434 10738 13806 16107 32214 48321 96642 225941 451882 677823 1355646 1581587 2033469 2937233 3163174 4066938 4744761 5874466 8811699 9489522 13330519 14234283 17623398 20560631 26435097 26661038 28468566 39991557 41121262 52870194 61681893 79983114 93313633 119974671 123363786 173296747 185045679 186627266 239949342 279940899 346593494 370091358 519890241 559881798 839822697 1039780482 1213077229 1559670723 1679645394 2426154458 3119341446 3639231687 7278463374 10917695061 21835390122