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222102120120102 = 232371073116697821
BaseRepresentation
bin110010100000000000101101…
…111110010011111100100110
31002010101202101121222000110200
4302200000231332103330212
5213102410120222320402
62104212145545131330
764532230404466245
oct6240005576237446
91063352347860420
10222102120120102
116484aa86687942
1220ab0a66789b46
1396c11a892a541
143cbbb2b19895c
151aa25bc32b21c
hexca002df93f26

222102120120102 has 48 divisors (see below), whose sum is σ = 498846186598032. Its totient is φ = 71359913286720.

The previous prime is 222102120120079. The next prime is 222102120120107. The reversal of 222102120120102 is 201021021201222.

It is a happy number.

222102120120102 is a `hidden beast` number, since 22 + 210 + 212 + 0 + 120 + 102 = 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 (222102120120107) 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 23 ways as a sum of consecutive naturals, for example, 1558277649 + ... + 1558420172.

It is an arithmetic number, because the mean of its divisors is an integer number (10392628887459).

Almost surely, 2222102120120102 is an apocalyptic number.

222102120120102 is an abundant number, since it is smaller than the sum of its proper divisors (276744066477930).

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

222102120120102 is a wasteful number, since it uses less digits than its factorization.

222102120120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116697973 (or 3116697970 counting only the distinct ones).

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

Adding to 222102120120102 its reverse (201021021201222), we get a palindrome (423123141321324).

It can be divided in two parts, 222102120 and 120102, that added together give a palindrome (222222222).

The spelling of 222102120120102 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred twenty million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 107 111 214 222 321 333 642 666 963 1926 3959 7918 11877 23754 35631 71262 3116697821 6233395642 9350093463 18700186926 28050280389 56100560778 115317819377 230635638754 333486666847 345953458131 666973333694 691906916262 1000460000541 1037860374393 2000920001082 2075720748786 3001380001623 6002760003246 12339006673339 24678013346678 37017020020017 74034040040034 111051060060051 222102120120102