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221121210022002 = 23212284511667889
BaseRepresentation
bin110010010001101111001011…
…001011001111100001110010
31001222220222111022120002100100
4302101233023023033201302
5212440322214231201002
62102141403113333230
764401323501310003
oct6221571313174162
91058828438502310
10221121210022002
1164501a84491884
1220972931a07216
13964c843618854
143c8647620d1aa
151a86d0b9ac11c
hexc91bcb2cf872

221121210022002 has 12 divisors (see below), whose sum is σ = 479095955047710. Its totient is φ = 73707070007328.

The previous prime is 221121210021997. The next prime is 221121210022019. The reversal of 221121210022002 is 200220012121122.

It is a happy number.

221121210022002 is a `hidden beast` number, since 2 + 211 + 21 + 210 + 0 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200217943725921 + 20903266296081 = 14149839^2 + 4572009^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12284511667889 = 221121210022002 / (2 + 2 + 1 + 1 + 2 + 1 + 2 + 1 + 0 + 0 + 2 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6142255833927 + ... + 6142255833962.

Almost surely, 2221121210022002 is an apocalyptic number.

221121210022002 is an abundant number, since it is smaller than the sum of its proper divisors (257974745025708).

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

221121210022002 is a wasteful number, since it uses less digits than its factorization.

221121210022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284511667897 (or 12284511667894 counting only the distinct ones).

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

Adding to 221121210022002 its reverse (200220012121122), we get a palindrome (421341222143124).

The spelling of 221121210022002 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 12284511667889 24569023335778 36853535003667 73707070007334 110560605011001 221121210022002