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22400010013 is a prime number
BaseRepresentation
bin10100110111001001…
…010000011100011101
32010211002120102001111
4110313021100130131
5331333400310023
614142421542021
71422043641433
oct246711203435
963732512044
1022400010013
119555249077
124411874911
13215c997cc4
141126d48d53
158b17e500d
hex53725071d

22400010013 has 2 divisors, whose sum is σ = 22400010014. Its totient is φ = 22400010012.

The previous prime is 22400009993. The next prime is 22400010041. The reversal of 22400010013 is 31001000422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20931434329 + 1468575684 = 144677^2 + 38322^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22400010013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22400009975 and 22400010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22400010053) 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, 11200005006 + 11200005007.

It is an arithmetic number, because the mean of its divisors is an integer number (11200005007).

Almost surely, 222400010013 is an apocalyptic number.

It is an amenable number.

22400010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22400010013 is an equidigital number, since it uses as much as digits as its factorization.

22400010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22400010013 its reverse (31001000422), we get a palindrome (53401010435).

The spelling of 22400010013 in words is "twenty-two billion, four hundred million, ten thousand, thirteen".