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221121200022102 = 232373071171923551
BaseRepresentation
bin110010010001101111001010…
…100101000110001001010110
31001222220222110121202001001200
4302101233022211012021112
5212440322204201201402
62102141402115133330
764401323320310532
oct6221571245061126
91058828417661050
10221121200022102
1164501a798817a6
122097292a5a4246
13964c841527053
143c86474b68bc2
151a86d0ab8421c
hexc91bca946256

221121200022102 has 96 divisors (see below), whose sum is σ = 494069318206464. Its totient is φ = 71420264136000.

The previous prime is 221121200022089. The next prime is 221121200022127. The reversal of 221121200022102 is 201220002121122.

It is a happy number.

221121200022102 is a `hidden beast` number, since 221 + 1 + 21 + 200 + 0 + 221 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238963227 + ... + 239886777.

It is an arithmetic number, because the mean of its divisors is an integer number (5146555397984).

Almost surely, 2221121200022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221121200022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247034659103232).

221121200022102 is an abundant number, since it is smaller than the sum of its proper divisors (272948118184362).

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

221121200022102 is a wasteful number, since it uses less digits than its factorization.

221121200022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925074 (or 925071 counting only the distinct ones).

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

Adding to 221121200022102 its reverse (201220002121122), we get a palindrome (422341202143224).

The spelling of 221121200022102 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 307 333 614 666 921 1171 1842 2342 2763 3513 5526 7026 10539 11359 21078 22718 34077 43327 68154 86654 102231 129981 204462 259962 359497 389943 718994 779886 923551 1078491 1847102 2156982 2770653 3235473 5541306 6470946 8311959 13301389 16623918 26602778 34171387 39904167 68342774 79808334 102514161 119712501 205028322 239425002 283530157 307542483 567060314 615084966 850590471 1081478221 1701180942 2162956442 2551771413 3244434663 5103542826 6488869326 9733303989 10490615809 19466607978 20981231618 31471847427 40014694177 62943694854 80029388354 94415542281 120044082531 188831084562 240088165062 332013813847 360132247593 664027627694 720264495186 996041441541 1992082883082 2988124324623 5976248649246 12284511112339 24569022224678 36853533337017 73707066674034 110560600011051 221121200022102