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22012222221013 is a prime number
BaseRepresentation
bin1010000000101000111101…
…01011111010101011010101
32212221100101121120111220011
411000110132223322223111
510341122012342033023
6114452135243440221
74431221246500243
oct500243653725325
985840347514804
1022012222221013
11701737064a422
122576148826071
13c38988a4723b
1456157c053793
152828c5d7c50d
hex14051eafaad5

22012222221013 has 2 divisors, whose sum is σ = 22012222221014. Its totient is φ = 22012222221012.

The previous prime is 22012222221007. The next prime is 22012222221049. The reversal of 22012222221013 is 31012222221022.

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., 15729013224324 + 6283208996689 = 3965982^2 + 2506633^2 .

It is a cyclic number.

It is not a de Polignac number, because 22012222221013 - 225 = 22012188666581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22012222251013) 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, 11006111110506 + 11006111110507.

It is an arithmetic number, because the mean of its divisors is an integer number (11006111110507).

Almost surely, 222012222221013 is an apocalyptic number.

It is an amenable number.

22012222221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22012222221013 is an equidigital number, since it uses as much as digits as its factorization.

22012222221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22012222221013 its reverse (31012222221022), we get a palindrome (53024444442035).

Subtracting 22012222221013 from its reverse (31012222221022), we obtain a palindrome (9000000000009).

The spelling of 22012222221013 in words is "twenty-two trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, thirteen".