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212021102212002 = 232251283165823633
BaseRepresentation
bin110000001101010100000010…
…011110110111001110100010
31000210201000112011020121020100
4300031110002132313032202
5210242223204131241002
62030533052201123230
762442006364222146
oct6015240236671642
91023630464217210
10212021102212002
116161370a902386
121b94313a189516
13913c6727ccb35
143a4dc3a041226
15197a24e89c11c
hexc0d5027b73a2

212021102212002 has 48 divisors (see below), whose sum is σ = 462838967686368. Its totient is φ = 70143396336000.

The previous prime is 212021102211899. The next prime is 212021102212057. The reversal of 212021102212002 is 200212201120212.

It is a happy number.

212021102212002 is a `hidden beast` number, since 212 + 0 + 21 + 10 + 221 + 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 23 ways as a sum of consecutive naturals, for example, 81633223 + ... + 84190410.

It is an arithmetic number, because the mean of its divisors is an integer number (9642478493466).

Almost surely, 2212021102212002 is an apocalyptic number.

212021102212002 is an abundant number, since it is smaller than the sum of its proper divisors (250817865474366).

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

212021102212002 is a wasteful number, since it uses less digits than its factorization.

212021102212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165824175 (or 165824172 counting only the distinct ones).

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

Adding to 212021102212002 its reverse (200212201120212), we get a palindrome (412233303332214).

The spelling of 212021102212002 in words is "two hundred twelve trillion, twenty-one billion, one hundred two million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 251 283 502 566 753 849 1506 1698 2259 2547 4518 5094 71033 142066 213099 426198 639297 1278594 165823633 331647266 497470899 994941798 1492412697 2984825394 41621731883 46928088139 83243463766 93856176278 124865195649 140784264417 249730391298 281568528834 374595586947 422352793251 749191173894 844705586502 11778950122889 23557900245778 35336850368667 70673700737334 106010551106001 212021102212002