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22121443013 is a prime number
BaseRepresentation
bin10100100110100010…
…100110111011000101
32010002200101201222012
4110212202212323011
5330301042134023
614055031144005
71412122106645
oct244642467305
963080351865
1022121443013
119421a8360a
124354515005
132117062967
1410dbd54525
1589711b978
hex5268a6ec5

22121443013 has 2 divisors, whose sum is σ = 22121443014. Its totient is φ = 22121443012.

The previous prime is 22121443007. The next prime is 22121443037. The reversal of 22121443013 is 31034412122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16821311809 + 5300131204 = 129697^2 + 72802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22121443013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22121443013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121443313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060721506 + 11060721507.

It is an arithmetic number, because the mean of its divisors is an integer number (11060721507).

Almost surely, 222121443013 is an apocalyptic number.

It is an amenable number.

22121443013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121443013 is an equidigital number, since it uses as much as digits as its factorization.

22121443013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22121443013 its reverse (31034412122), we get a palindrome (53155855135).

The spelling of 22121443013 in words is "twenty-two billion, one hundred twenty-one million, four hundred forty-three thousand, thirteen".