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221001212220102 = 23386316987279173
BaseRepresentation
bin110010001111111111011010…
…101111111101001011000110
31001222111111202110112011002000
4302033333122233331023012
5212431340440312020402
62102010315540130130
764356545026651026
oct6217773257751306
91058444673464060
10221001212220102
11644660a6899176
1220953622996946
13964142ba20b42
143c807312b9a86
151a83b36cdcc1c
hexc8ffdabfd2c6

221001212220102 has 64 divisors (see below), whose sum is σ = 491713588316160. Its totient is φ = 73577113925472.

The previous prime is 221001212220101. The next prime is 221001212220119. The reversal of 221001212220102 is 201022212100122.

It is a happy number.

221001212220102 is a `hidden beast` number, since 221 + 0 + 0 + 1 + 212 + 220 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001212220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791488588 + ... + 791767760.

It is an arithmetic number, because the mean of its divisors is an integer number (7683024817440).

Almost surely, 2221001212220102 is an apocalyptic number.

221001212220102 is an abundant number, since it is smaller than the sum of its proper divisors (270712376096058).

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

221001212220102 is a wasteful number, since it uses less digits than its factorization.

221001212220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297034 (or 297028 counting only the distinct ones).

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

Adding to 221001212220102 its reverse (201022212100122), we get a palindrome (422023424320224).

The spelling of 221001212220102 in words is "two hundred twenty-one trillion, one billion, two hundred twelve million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 863 1726 2589 5178 7767 15534 16987 23301 33974 46602 50961 101922 152883 279173 305766 458649 558346 837519 917298 1675038 2512557 5025114 7537671 14659781 15075342 29319562 43979343 87958686 131938029 240926299 263876058 395814087 481852598 722778897 791628174 1445557794 2168336691 4336673382 4742311751 6505010073 9484623502 13010020146 14226935253 28453870506 42680805759 85361611518 128042417277 256084834554 4092615041113 8185230082226 12277845123339 24555690246678 36833535370017 73667070740034 110500606110051 221001212220102