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200122112122033 is a prime number
BaseRepresentation
bin101101100000001010001111…
…011001111001110010110001
3222020120111011002010120210211
4231200022033121321302301
5202212300041200401113
61545342455032024121
760103226332242223
oct5540121731716261
9866514132116724
10200122112122033
1158846347135a72
121a54100a532041
138788584c197aa
14375bd67690413
15182097e6a3b3d
hexb6028f679cb1

200122112122033 has 2 divisors, whose sum is σ = 200122112122034. Its totient is φ = 200122112122032.

The previous prime is 200122112122021. The next prime is 200122112122063. The reversal of 200122112122033 is 330221211221002.

200122112122033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146460509755569 + 53661602366464 = 12102087^2 + 7325408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200122112122033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200122112121995 and 200122112122013.

It is not a weakly prime, because it can be changed into another prime (200122112122063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100061056061016 + 100061056061017.

It is an arithmetic number, because the mean of its divisors is an integer number (100061056061017).

Almost surely, 2200122112122033 is an apocalyptic number.

It is an amenable number.

200122112122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

200122112122033 is an equidigital number, since it uses as much as digits as its factorization.

200122112122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 200122112122033 its reverse (330221211221002), we get a palindrome (530343323343035).

The spelling of 200122112122033 in words is "two hundred trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, thirty-three".