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2200033218193 is a prime number
BaseRepresentation
bin100000000000111100001…
…100101100111010010001
321210022200002122012020221
4200000330030230322101
5242021132000440233
64402403055033041
7314642605543066
oct40007414547221
97708602565227
102200033218193
11779035440338
122b646a80b781
1312c601714285
14786a713ac6d
153c36431442d
hex2003c32ce91

2200033218193 has 2 divisors, whose sum is σ = 2200033218194. Its totient is φ = 2200033218192.

The previous prime is 2200033218157. The next prime is 2200033218203. The reversal of 2200033218193 is 3918123300022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1765451662209 + 434581555984 = 1328703^2 + 659228^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200033218193 - 241 = 1009962641 is a prime.

It is a super-2 number, since 2×22000332181932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2200033218293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100016609096 + 1100016609097.

It is an arithmetic number, because the mean of its divisors is an integer number (1100016609097).

Almost surely, 22200033218193 is an apocalyptic number.

It is an amenable number.

2200033218193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200033218193 is an equidigital number, since it uses as much as digits as its factorization.

2200033218193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 2200033218193 in words is "two trillion, two hundred billion, thirty-three million, two hundred eighteen thousand, one hundred ninety-three".