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221002212012021 = 3211293111321974717
BaseRepresentation
bin110010010000000000010110…
…010101110110111111110101
31001222111121100010210211202100
4302100000112111312333311
5212431400012233341041
62102011003053132313
764356611560024206
oct6220002625667765
91058447303724670
10221002212012021
116446656a18a690
122095386178a099
13964155abb73ab
143c807c7db15ad
151a83b9497c6b6
hexc90016576ff5

221002212012021 has 96 divisors (see below), whose sum is σ = 375166449515520. Its totient is φ = 124042876876800.

The previous prime is 221002212011989. The next prime is 221002212012047. The reversal of 221002212012021 is 120210212200122.

It is a happy number.

221002212012021 is a `hidden beast` number, since 221 + 0 + 0 + 221 + 20 + 1 + 202 + 1 = 666.

221002212012021 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 221002212012021 - 25 = 221002212011989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221002212011985 and 221002212012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002212012721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 930246 + ... + 21044471.

It is an arithmetic number, because the mean of its divisors is an integer number (3907983849120).

Almost surely, 2221002212012021 is an apocalyptic number.

It is an amenable number.

221002212012021 is a deficient number, since it is larger than the sum of its proper divisors (154164237503499).

221002212012021 is a wasteful number, since it uses less digits than its factorization.

221002212012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21974907 (or 21974904 counting only the distinct ones).

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

Adding to 221002212012021 its reverse (120210212200122), we get a palindrome (341212424212143).

The spelling of 221002212012021 in words is "two hundred twenty-one trillion, two billion, two hundred twelve million, twelve thousand, twenty-one".

Divisors: 1 3 9 11 29 31 33 87 93 99 113 261 279 319 339 341 899 957 1017 1023 1243 2697 2871 3069 3277 3503 3729 8091 9831 9889 10509 11187 29493 29667 31527 36047 38533 89001 101587 108141 115599 304761 324423 346797 914283 1117457 3352371 10057113 21974717 65924151 197772453 241721887 637266793 681216227 725165661 1911800379 2043648681 2175496983 2483143021 5735401137 6130946043 7009934723 7449429063 7493378497 19755270583 21029804169 22348287189 22480135491 27314573231 59265811749 63089412507 67440406473 72011147609 76977433651 81943719693 177797435247 216033442827 217307976413 230932300953 245831159079 648100328481 651923929239 692796902859 792122623699 846751770161 1955771787717 2232345575879 2376367871097 2540255310483 6697036727637 7129103613291 7620765931449 20091110182911 24555801334669 73667404004007 221002212012021