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221120200193 is a prime number
BaseRepresentation
bin1100110111101111001…
…0100111111000000001
3210010202020200000112012
43031323302213320001
512110323232401233
6245325313142305
721655364455454
oct3157362477001
9703666600465
10221120200193
118585a652202
1236a3085a995
1317b0bacb059
14a9b908349b
155b42716548
hex337bca7e01

221120200193 has 2 divisors, whose sum is σ = 221120200194. Its totient is φ = 221120200192.

The previous prime is 221120200141. The next prime is 221120200219. The reversal of 221120200193 is 391002021122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218394524929 + 2725675264 = 467327^2 + 52208^2 .

It is a cyclic number.

It is not a de Polignac number, because 221120200193 - 218 = 221119938049 is a prime.

It is not a weakly prime, because it can be changed into another prime (221120208193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560100096 + 110560100097.

It is an arithmetic number, because the mean of its divisors is an integer number (110560100097).

Almost surely, 2221120200193 is an apocalyptic number.

It is an amenable number.

221120200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120200193 is an equidigital number, since it uses as much as digits as its factorization.

221120200193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 221120200193 in words is "two hundred twenty-one billion, one hundred twenty million, two hundred thousand, one hundred ninety-three".