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2102202221112 = 233274171036153
BaseRepresentation
bin11110100101110101000…
…001000100001000111000
321102222011002100121122200
4132211311001010020320
5233420302232033422
64245423253150200
7304610350023210
oct36456501041070
97388132317580
102102202221112
117405a2393234
1229b50732b360
131233103a2416
1473a661a9240
1539a3a7222ac
hex1e975044238

2102202221112 has 48 divisors (see below), whose sum is σ = 6506816400240. Its totient is φ = 600629205888.

The previous prime is 2102202221089. The next prime is 2102202221123. The reversal of 2102202221112 is 2111222022012.

It is a happy number.

2102202221112 is a `hidden beast` number, since 210 + 220 + 2 + 221 + 1 + 12 = 666.

It is a super-2 number, since 2×21022022211122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2085517573 + ... + 2085518580.

It is an arithmetic number, because the mean of its divisors is an integer number (135558675005).

Almost surely, 22102202221112 is an apocalyptic number.

It is an amenable number.

2102202221112 is an abundant number, since it is smaller than the sum of its proper divisors (4404614179128).

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

2102202221112 is a wasteful number, since it uses less digits than its factorization.

2102202221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171036172 (or 4171036165 counting only the distinct ones).

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

Adding to 2102202221112 its reverse (2111222022012), we get a palindrome (4213424243124).

The spelling of 2102202221112 in words is "two trillion, one hundred two billion, two hundred two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4171036153 8342072306 12513108459 16684144612 25026216918 29197253071 33368289224 37539325377 50052433836 58394506142 75078650754 87591759213 100104867672 116789012284 150157301508 175183518426 233578024568 262775277639 300314603016 350367036852 525550555278 700734073704 1051101110556 2102202221112