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9222130013 is a prime number
BaseRepresentation
bin10001001011010111…
…01000100101011101
3212210201001202002212
420211223220211131
5122341331130023
64123034130205
7444350545265
oct104553504535
925721052085
109222130013
113a02719858
121954580965
13b3c7b5385
14636b187a5
1538e957e78
hex225ae895d

9222130013 has 2 divisors, whose sum is σ = 9222130014. Its totient is φ = 9222130012.

The previous prime is 9222129937. The next prime is 9222130031. The reversal of 9222130013 is 3100312229.

9222130013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (9222130031) 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., 7019423524 + 2202706489 = 83782^2 + 46933^2 .

It is a cyclic number.

It is not a de Polignac number, because 9222130013 - 212 = 9222125917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9222430013) 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, 4611065006 + 4611065007.

It is an arithmetic number, because the mean of its divisors is an integer number (4611065007).

Almost surely, 29222130013 is an apocalyptic number.

It is an amenable number.

9222130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9222130013 is an equidigital number, since it uses as much as digits as its factorization.

9222130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 9222130013 is about 96031.9218437286. The cubic root of 9222130013 is about 2097.0578612647.

The spelling of 9222130013 in words is "nine billion, two hundred twenty-two million, one hundred thirty thousand, thirteen".