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112022121202002 = 2341125714831201
BaseRepresentation
bin11001011110001000101110…
…101111011100000101010010
3112200122012200020100010110000
4121132020232233130011102
5104140332301011431002
61034130130234550430
732411221410242124
oct3136105657340522
9480565606303400
10112022121202002
113276a35100a500
1210692779898416
134a6784381286b
141d93c846c1214
15ce3e447b061c
hex65e22ebdc152

112022121202002 has 60 divisors (see below), whose sum is σ = 275906335601358. Its totient is φ = 33946097328000.

The previous prime is 112022121202001. The next prime is 112022121202021. The reversal of 112022121202002 is 200202121220211.

It is a happy number.

112022121202002 is a `hidden beast` number, since 1 + 120 + 221 + 2 + 120 + 200 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108940800875841 + 3081320326161 = 10437471^2 + 1755369^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112022121202001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2857395999 + ... + 2857435202.

Almost surely, 2112022121202002 is an apocalyptic number.

112022121202002 is an abundant number, since it is smaller than the sum of its proper divisors (163884214399356).

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

112022121202002 is a wasteful number, since it uses less digits than its factorization.

112022121202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714831237 (or 5714831217 counting only the distinct ones).

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

Adding to 112022121202002 its reverse (200202121220211), we get a palindrome (312224242422213).

The spelling of 112022121202002 in words is "one hundred twelve trillion, twenty-two billion, one hundred twenty-one million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 5714831201 11429662402 17144493603 34288987206 51433480809 62863143211 102866961618 125726286422 154300442427 188589429633 308600884854 377178859266 462901327281 565768288899 691494575321 925802654562 1131536577798 1382989150642 1697304866697 2074483725963 3394609733394 4148967451926 5091914600091 6223451177889 10183829200182 12446902355778 18670353533667 37340707067334 56011060601001 112022121202002