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2112022212102 = 2321111394396273
BaseRepresentation
bin11110101110111110010…
…101010110111000000110
321110220111110101211211200
4132232332111112320012
5234100410141241402
64254125525443330
7305405610411435
oct36567625267006
97426443354750
102112022212102
11744781529870
122a13a7b70546
131242169b488a
147431847111c
1539e128c421c
hex1ebbe556e06

2112022212102 has 48 divisors (see below), whose sum is σ = 5036230010448. Its totient is φ = 634342947840.

The previous prime is 2112022212073. The next prime is 2112022212107. The reversal of 2112022212102 is 2012122202112.

It is a happy number.

2112022212102 is a `hidden beast` number, since 211 + 20 + 2 + 221 + 210 + 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 (2112022212107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47175763 + ... + 47220510.

It is an arithmetic number, because the mean of its divisors is an integer number (104921458551).

Almost surely, 22112022212102 is an apocalyptic number.

2112022212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112022212102 is an abundant number, since it is smaller than the sum of its proper divisors (2924207798346).

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

2112022212102 is a wasteful number, since it uses less digits than its factorization.

2112022212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94396405 (or 94396402 counting only the distinct ones).

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

Adding to 2112022212102 its reverse (2012122202112), we get a palindrome (4124144414214).

It can be divided in two parts, 21120 and 22212102, that added together give a palindrome (22233222).

The spelling of 2112022212102 in words is "two trillion, one hundred twelve billion, twenty-two million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 678 1017 1243 2034 2486 3729 7458 11187 22374 94396273 188792546 283188819 566377638 849566457 1038359003 1699132914 2076718006 3115077009 6230154018 9345231027 10666778849 18690462054 21333557698 32000336547 64000673094 96001009641 117334567339 192002019282 234669134678 352003702017 704007404034 1056011106051 2112022212102