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2220221000993 is a prime number
BaseRepresentation
bin100000010011101111011…
…110111110110100100001
321212020210000111211002012
4200103233132332310201
5242334003034012433
64415542213202305
7316256101061522
oct40235736766441
97766700454065
102220221000993
11786654968356
122ba363630395
1313149ac89398
1479660344849
153cb467c4848
hex204ef7bed21

2220221000993 has 2 divisors, whose sum is σ = 2220221000994. Its totient is φ = 2220221000992.

The previous prime is 2220221000951. The next prime is 2220221001029. The reversal of 2220221000993 is 3990001220222.

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., 1627709017489 + 592511983504 = 1275817^2 + 769748^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220221000993 - 212 = 2220220996897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220221000923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110110500496 + 1110110500497.

It is an arithmetic number, because the mean of its divisors is an integer number (1110110500497).

Almost surely, 22220221000993 is an apocalyptic number.

It is an amenable number.

2220221000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220221000993 is an equidigital number, since it uses as much as digits as its factorization.

2220221000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 2220221000993 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, nine hundred ninety-three", and thus it is an aban number.