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2221102020013 is a prime number
BaseRepresentation
bin100000010100100011111…
…111110011010110101101
321212100001102022012222021
4200110203333303112231
5242342304104120023
64420205444350141
7316316656444222
oct40244377632655
97770042265867
102221102020013
11786a67205a48
122ba56a6a5351
131315ab668406
147970535d949
153cb98d0235d
hex20523ff35ad

2221102020013 has 2 divisors, whose sum is σ = 2221102020014. Its totient is φ = 2221102020012.

The previous prime is 2221102020001. The next prime is 2221102020047. The reversal of 2221102020013 is 3100202011222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1779657385444 + 441444634569 = 1334038^2 + 664413^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221102020013 - 221 = 2221099922861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221102020113) 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, 1110551010006 + 1110551010007.

It is an arithmetic number, because the mean of its divisors is an integer number (1110551010007).

Almost surely, 22221102020013 is an apocalyptic number.

It is an amenable number.

2221102020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221102020013 is an equidigital number, since it uses as much as digits as its factorization.

2221102020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2221102020013 its reverse (3100202011222), we get a palindrome (5321304031235).

The spelling of 2221102020013 in words is "two trillion, two hundred twenty-one billion, one hundred two million, twenty thousand, thirteen".