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2221231120201 is a prime number
BaseRepresentation
bin100000010100101011101…
…100010001111101001001
321212100101102020012010201
4200110223230101331021
5242343040131321301
64420230335412201
7316323114666502
oct40245354217511
97770342205121
102221231120201
11787023072915
122ba5a5984061
131315cc32a462
1479718567ba9
153cba5304201
hex2052bb11f49

2221231120201 has 2 divisors, whose sum is σ = 2221231120202. Its totient is φ = 2221231120200.

The previous prime is 2221231120189. The next prime is 2221231120237. The reversal of 2221231120201 is 1020211321222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1809132601600 + 412098518601 = 1345040^2 + 641949^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221231120201 - 221 = 2221229023049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221231127201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110615560100 + 1110615560101.

It is an arithmetic number, because the mean of its divisors is an integer number (1110615560101).

Almost surely, 22221231120201 is an apocalyptic number.

It is an amenable number.

2221231120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221231120201 is an equidigital number, since it uses as much as digits as its factorization.

2221231120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2221231120201 its reverse (1020211321222), we get a palindrome (3241442441423).

It can be divided in two parts, 2221231 and 120201, that added together give a palindrome (2341432).

The spelling of 2221231120201 in words is "two trillion, two hundred twenty-one billion, two hundred thirty-one million, one hundred twenty thousand, two hundred one".