Search a number
-
+
22523314013 is a prime number
BaseRepresentation
bin10100111110011111…
…100111111101011101
32011010200120220100022
4110332133213331131
5332111432022023
614202544441525
71425102003344
oct247637477535
964120526308
1022523314013
119608907202
1244470192a5
13217c3aaa55
141139484b5b
158bc54e7c8
hex53e7e7f5d

22523314013 has 2 divisors, whose sum is σ = 22523314014. Its totient is φ = 22523314012.

The previous prime is 22523313977. The next prime is 22523314049. The reversal of 22523314013 is 31041332522.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (22523313977) and next prime (22523314049).

It can be written as a sum of positive squares in only one way, i.e., 15188590564 + 7334723449 = 123242^2 + 85643^2 .

It is a cyclic number.

It is not a de Polignac number, because 22523314013 - 26 = 22523313949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22523314813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11261657006 + 11261657007.

It is an arithmetic number, because the mean of its divisors is an integer number (11261657007).

Almost surely, 222523314013 is an apocalyptic number.

It is an amenable number.

22523314013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22523314013 is an equidigital number, since it uses as much as digits as its factorization.

22523314013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 22523314013 its reverse (31041332522), we get a palindrome (53564646535).

The spelling of 22523314013 in words is "twenty-two billion, five hundred twenty-three million, three hundred fourteen thousand, thirteen".