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22221012013 is a prime number
BaseRepresentation
bin10100101100011110…
…011011110000101101
32010100121202100221221
4110230132123300231
5331002034341023
614112545223341
71414441325404
oct245436336055
963317670857
1022221012013
119473200242
124381931b51
132131885225
14110b27263b
158a0c3885d
hex52c79bc2d

22221012013 has 2 divisors, whose sum is σ = 22221012014. Its totient is φ = 22221012012.

The previous prime is 22221011987. The next prime is 22221012019. The reversal of 22221012013 is 31021012222.

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., 19825203204 + 2395808809 = 140802^2 + 48947^2 .

It is a cyclic number.

It is not a de Polignac number, because 22221012013 - 213 = 22221003821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22221012019) 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, 11110506006 + 11110506007.

It is an arithmetic number, because the mean of its divisors is an integer number (11110506007).

Almost surely, 222221012013 is an apocalyptic number.

It is an amenable number.

22221012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221012013 is an equidigital number, since it uses as much as digits as its factorization.

22221012013 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 22221012013 its reverse (31021012222), we get a palindrome (53242024235).

The spelling of 22221012013 in words is "twenty-two billion, two hundred twenty-one million, twelve thousand, thirteen".