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200122212010122 = 23237300483801817
BaseRepresentation
bin101101100000001010010101…
…010110111100100010001010
3222020120111102001002102111200
4231200022111112330202022
5202212300242233310442
61545342513001005030
760103231654260153
oct5540122526744212
9866514361072450
10200122212010122
1158846398560406
121a541037a83776
13878859c82137c
14375bd76a5292a
15182098833534c
hexb602955bc88a

200122212010122 has 24 divisors (see below), whose sum is σ = 445316994294276. Its totient is φ = 64904501192256.

The previous prime is 200122212010111. The next prime is 200122212010139. The reversal of 200122212010122 is 221010212221002.

It is a happy number.

200122212010122 is a `hidden beast` number, since 200 + 1 + 222 + 120 + 1 + 0 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199471868149401 + 650343860721 = 14123451^2 + 806439^2 .

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 = 200122212010095 and 200122212010104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150241900243 + ... + 150241901574.

Almost surely, 2200122212010122 is an apocalyptic number.

200122212010122 is an abundant number, since it is smaller than the sum of its proper divisors (245194782284154).

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

200122212010122 is a wasteful number, since it uses less digits than its factorization.

200122212010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300483801862 (or 300483801859 counting only the distinct ones).

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

Adding to 200122212010122 its reverse (221010212221002), we get a palindrome (421132424231124).

The spelling of 200122212010122 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twelve million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 300483801817 600967603634 901451405451 1802902810902 2704354216353 5408708432706 11117900667229 22235801334458 33353702001687 66707404003374 100061106005061 200122212010122