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221121211121010 = 232510987322361293
BaseRepresentation
bin110010010001101111001011…
…001111011011110101110010
31001222220222111101121220220100
4302101233023033123311302
5212440322220021333020
62102141403153053230
764401323513535054
oct6221571317336562
91058828441556810
10221121211121010
1164501a85072552
1220972932257216
13964c843911b55
143c864764178d4
151a86d0bb27a90
hexc91bcb3dbd72

221121211121010 has 48 divisors (see below), whose sum is σ = 574920407167704. Its totient is φ = 58965116990976.

The previous prime is 221121211120981. The next prime is 221121211121033. The reversal of 221121211121010 is 10121112121122.

It is a happy number.

221121211121010 is a `hidden beast` number, since 2 + 211 + 21 + 211 + 1 + 210 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197242165869849 + 23879045251161 = 14044293^2 + 4886619^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292077 + ... + 21069216.

Almost surely, 2221121211121010 is an apocalyptic number.

221121211121010 is an abundant number, since it is smaller than the sum of its proper divisors (353799196046694).

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

221121211121010 is a wasteful number, since it uses less digits than its factorization.

221121211121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22471179 (or 22471176 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221121211121010 its reverse (10121112121122), we get a palindrome (231242323242132).

The spelling of 221121211121010 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109873 219746 329619 549365 659238 988857 1098730 1648095 1977714 3296190 4944285 9888570 22361293 44722586 67083879 111806465 134167758 201251637 223612930 335419395 402503274 670838790 1006258185 2012516370 2456902345789 4913804691578 7370707037367 12284511728945 14741414074734 22112121112101 24569023457890 36853535186835 44224242224202 73707070373670 110560605560505 221121211121010