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22565221121 is a prime number
BaseRepresentation
bin10101000000111111…
…011111001100000001
32011020121110000002102
4111000333133030001
5332203144033441
614211043000145
71426121133452
oct250077371401
964217400072
1022565221121
11962a52a683
124459069055
132187c91661
141140c73129
158c107b69b
hex540fdf301

22565221121 has 2 divisors, whose sum is σ = 22565221122. Its totient is φ = 22565221120.

The previous prime is 22565221097. The next prime is 22565221141. The reversal of 22565221121 is 12112256522.

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., 15552833521 + 7012387600 = 124711^2 + 83740^2 .

It is a cyclic number.

It is not a de Polignac number, because 22565221121 - 226 = 22498112257 is a prime.

It is not a weakly prime, because it can be changed into another prime (22565221141) 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, 11282610560 + 11282610561.

It is an arithmetic number, because the mean of its divisors is an integer number (11282610561).

Almost surely, 222565221121 is an apocalyptic number.

It is an amenable number.

22565221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22565221121 is an equidigital number, since it uses as much as digits as its factorization.

22565221121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800, while the sum is 29.

Adding to 22565221121 its reverse (12112256522), we get a palindrome (34677477643).

The spelling of 22565221121 in words is "twenty-two billion, five hundred sixty-five million, two hundred twenty-one thousand, one hundred twenty-one".