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2201122120193 is a prime number
BaseRepresentation
bin100000000001111101000…
…110100010001000000001
321210102110222121010222122
4200001331012202020001
5242030344230321233
64403103114014025
7315011600214353
oct40017506421001
97712428533878
102201122120193
11779544065547
122b6713417315
1312c7461aa699
147876b9cb0d3
153c3c9c06d98
hex2007d1a2201

2201122120193 has 2 divisors, whose sum is σ = 2201122120194. Its totient is φ = 2201122120192.

The previous prime is 2201122120187. The next prime is 2201122120303. The reversal of 2201122120193 is 3910212211022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1590986163649 + 610135956544 = 1261343^2 + 781112^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201122120193 - 24 = 2201122120177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201122120693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100561060096 + 1100561060097.

It is an arithmetic number, because the mean of its divisors is an integer number (1100561060097).

Almost surely, 22201122120193 is an apocalyptic number.

It is an amenable number.

2201122120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201122120193 is an equidigital number, since it uses as much as digits as its factorization.

2201122120193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2201122120193 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred ninety-three".