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221100212122212 = 2231371317111021093
BaseRepresentation
bin110010010001011011100111…
…100110100111001001100100
31001222211222021221022020221010
4302101123213212213021210
5212440001213300402322
62102124011335422220
764366651241150163
oct6221334746471144
91058758257266833
10221100212122212
11644a4089743995
122096a851824970
13964a87828a987
143c854435a53da
151a864cd32720c
hexc916e79a7264

221100212122212 has 48 divisors (see below), whose sum is σ = 519670646433792. Its totient is φ = 73161486862080.

The previous prime is 221100212122157. The next prime is 221100212122259. The reversal of 221100212122212 is 212221212001122.

221100212122212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216022338 + ... + 217043430.

It is an arithmetic number, because the mean of its divisors is an integer number (10826471800704).

Almost surely, 2221100212122212 is an apocalyptic number.

It is an amenable number.

221100212122212 is an abundant number, since it is smaller than the sum of its proper divisors (298570434311580).

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

221100212122212 is a wasteful number, since it uses less digits than its factorization.

221100212122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152948 (or 1152946 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221100212122212 its reverse (212221212001122), we get a palindrome (433321424123334).

The spelling of 221100212122212 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1644 131711 263422 395133 526844 790266 1021093 1580532 2042186 3063279 4084372 6126558 12253116 18044407 36088814 54133221 72177628 108266442 139889741 216532884 279779482 419669223 559558964 839338446 1678676892 134489180123 268978360246 403467540369 537956720492 806935080738 1613870161476 18425017676851 36850035353702 55275053030553 73700070707404 110550106061106 221100212122212