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10022135213 is a prime number
BaseRepresentation
bin10010101010101110…
…11010010110101101
3221212110102012221002
421111113122112231
5131011131311323
64334253050045
7503233513046
oct112527322655
927773365832
1010022135213
114283263582
121b38486925
13c3946a72c
146b10858cd
153d9cd1828
hex2555da5ad

10022135213 has 2 divisors, whose sum is σ = 10022135214. Its totient is φ = 10022135212.

The previous prime is 10022135191. The next prime is 10022135231. The reversal of 10022135213 is 31253122001.

Together with next prime (10022135231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5213128804 + 4809006409 = 72202^2 + 69347^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022135213 - 214 = 10022118829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022135813) 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, 5011067606 + 5011067607.

It is an arithmetic number, because the mean of its divisors is an integer number (5011067607).

Almost surely, 210022135213 is an apocalyptic number.

It is an amenable number.

10022135213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022135213 is an equidigital number, since it uses as much as digits as its factorization.

10022135213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10022135213 its reverse (31253122001), we get a palindrome (41275257214).

The spelling of 10022135213 in words is "ten billion, twenty-two million, one hundred thirty-five thousand, two hundred thirteen".