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222102100122102 = 23341100317118393
BaseRepresentation
bin110010100000000000101100…
…110010000001100111110110
31002010101202100020100000101000
4302200000230302001213312
5213102410100112401402
62104212143552344130
764532230042506114
oct6240005462014766
91063352306300330
10222102100122102
116484aa76369072
1220ab0a5bb45046
1396c11a4747cc5
143cbbb28670ab4
151aa25ba6cac1c
hexca002cc819f6

222102100122102 has 32 divisors (see below), whose sum is σ = 505598276705760. Its totient is φ = 72228325242240.

The previous prime is 222102100122047. The next prime is 222102100122103. The reversal of 222102100122102 is 201221001201222.

It is a happy number.

222102100122102 is a `hidden beast` number, since 22 + 210 + 210 + 0 + 1 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222102100122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50158556983 + ... + 50158561410.

It is an arithmetic number, because the mean of its divisors is an integer number (15799946147055).

Almost surely, 2222102100122102 is an apocalyptic number.

222102100122102 is an abundant number, since it is smaller than the sum of its proper divisors (283496176583658).

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

222102100122102 is a wasteful number, since it uses less digits than its factorization.

222102100122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100317118445 (or 100317118439 counting only the distinct ones).

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

Adding to 222102100122102 its reverse (201221001201222), we get a palindrome (423323101323324).

The spelling of 222102100122102 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 100317118393 200634236786 300951355179 601902710358 902854065537 1805708131074 2708562196611 4113001854113 5417124393222 8226003708226 12339005562339 24678011124678 37017016687017 74034033374034 111051050061051 222102100122102