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200122200209993 is a prime number
BaseRepresentation
bin101101100000001010010100…
…101001111011101001001001
3222020120111101012212220202212
4231200022110221323221021
5202212300231223204433
61545342511500034505
760103231452052355
oct5540122451735111
9866514335786685
10200122200209993
1158846391930836
121a541033b32a35
13878859a24c349
14375bd75260465
1518209872a3d48
hexb60294a7ba49

200122200209993 has 2 divisors, whose sum is σ = 200122200209994. Its totient is φ = 200122200209992.

The previous prime is 200122200209977. The next prime is 200122200210059. The reversal of 200122200209993 is 399902002221002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195381464763664 + 4740735446329 = 13977892^2 + 2177323^2 .

It is a cyclic number.

It is not a de Polignac number, because 200122200209993 - 24 = 200122200209977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200122200209993.

It is not a weakly prime, because it can be changed into another prime (200122200209903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100061100104996 + 100061100104997.

It is an arithmetic number, because the mean of its divisors is an integer number (100061100104997).

Almost surely, 2200122200209993 is an apocalyptic number.

It is an amenable number.

200122200209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

200122200209993 is an equidigital number, since it uses as much as digits as its factorization.

200122200209993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 200122200209993 in words is "two hundred trillion, one hundred twenty-two billion, two hundred million, two hundred nine thousand, nine hundred ninety-three".