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222220100013201 = 3333159341931161
BaseRepresentation
bin110010100001101110100110…
…000111111000110010010001
31002010211000220211221120021000
4302201232212013320302101
5213111323231100410301
62104342300555452213
764543605144154203
oct6241564607706221
91063730824846230
10222220100013201
1164896019211824
1220b0b8b1a57069
1396cc35b44a584
143cc37200d0773
151aa56c4c9b786
hexca1ba61f8c91

222220100013201 has 32 divisors (see below), whose sum is σ = 330766423827840. Its totient is φ = 147450085516800.

The previous prime is 222220100013173. The next prime is 222220100013229. The reversal of 222220100013201 is 102310001022222.

222220100013201 is a `hidden beast` number, since 2 + 22 + 220 + 100 + 0 + 1 + 320 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (222220100013173) and next prime (222220100013229).

It is not a de Polignac number, because 222220100013201 - 215 = 222220099980433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222220101013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15665940 + ... + 26265221.

It is an arithmetic number, because the mean of its divisors is an integer number (10336450744620).

Almost surely, 2222220100013201 is an apocalyptic number.

It is an amenable number.

222220100013201 is a deficient number, since it is larger than the sum of its proper divisors (108546323814639).

222220100013201 is a wasteful number, since it uses less digits than its factorization.

222220100013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41932094 (or 41932088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222220100013201 its reverse (102310001022222), we get a palindrome (324530101035423).

The spelling of 222220100013201 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred million, thirteen thousand, two hundred one".

Divisors: 1 3 9 27 331 593 993 1779 2979 5337 8937 16011 196283 588849 1766547 5299641 41931161 125793483 377380449 1132141347 13879214291 24865178473 41637642873 74595535419 124912928619 223786606257 374738785857 671359818771 8230374074563 24691122223689 74073366671067 222220100013201