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202122211122 = 232132929785177
BaseRepresentation
bin1011110000111101101…
…1000010111100110010
3201022201020121011212100
42330033123002330302
511302421241223442
6232504220241230
720413530306306
oct2741733027462
9638636534770
10202122211122
11787a079a897
123320a3a0216
13160a1bb59c0
149ad5cadd06
1553ce92784c
hex2f0f6c2f32

202122211122 has 48 divisors (see below), whose sum is σ = 487881215640. Its totient is φ = 60046914816.

The previous prime is 202122211117. The next prime is 202122211171. The reversal of 202122211122 is 221112221202.

It is a happy number.

202122211122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 159040642401 + 43081568721 = 398799^2 + 207561^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 202122211095 and 202122211104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14885803 + ... + 14899374.

Almost surely, 2202122211122 is an apocalyptic number.

202122211122 is an abundant number, since it is smaller than the sum of its proper divisors (285759004518).

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

202122211122 is a wasteful number, since it uses less digits than its factorization.

202122211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29785227 (or 29785224 counting only the distinct ones).

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

Adding to 202122211122 its reverse (221112221202), we get a palindrome (423234432324).

The spelling of 202122211122 in words is "two hundred two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 29785177 59570354 89355531 178711062 268066593 387207301 536133186 774414602 863770133 1161621903 1727540266 2323243806 2591310399 3484865709 5182620798 6969731418 7773931197 11229011729 15547862394 22458023458 33687035187 67374070374 101061105561 202122211122