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221000212121022 = 23289251761547951
BaseRepresentation
bin110010001111111110011111…
…001000111000010110111110
31001222111102011202122212001100
4302033332133020320112332
5212431331413300333042
62102010032412353530
764356511164155205
oct6217763710702676
91058442152585040
10221000212121022
1164465733307a04
12209533a3a758a6
1396412cc77a839
143c8067854423c
151a83ac90dc24c
hexc8ff9f2385be

221000212121022 has 48 divisors (see below), whose sum is σ = 484216754898240. Its totient is φ = 72838598976000.

The previous prime is 221000212120999. The next prime is 221000212121057. The reversal of 221000212121022 is 220121212000122.

It is a happy number.

221000212121022 is a `hidden beast` number, since 221 + 0 + 0 + 0 + 212 + 1 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221000212120986 and 221000212121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403047147 + ... + 403595097.

It is an arithmetic number, because the mean of its divisors is an integer number (10087849060380).

Almost surely, 2221000212121022 is an apocalyptic number.

221000212121022 is an abundant number, since it is smaller than the sum of its proper divisors (263216542777218).

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

221000212121022 is a wasteful number, since it uses less digits than its factorization.

221000212121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799809 (or 799806 counting only the distinct ones).

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

Adding to 221000212121022 its reverse (220121212000122), we get a palindrome (441121424121144).

The spelling of 221000212121022 in words is "two hundred twenty-one trillion, two hundred twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 251761 503522 547951 755283 1095902 1510566 1643853 2265849 3287706 4531698 4931559 9863118 22406729 44813458 48767639 67220187 97535278 134440374 146302917 201660561 292605834 403321122 438908751 877817502 137952691711 275905383422 413858075133 827716150266 1241574225399 2483148450798 12277789562279 24555579124558 36833368686837 73666737373674 110500106060511 221000212121022