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22130311013 is a prime number
BaseRepresentation
bin10100100111000100…
…011011111101100101
32010010022002021120122
4110213010123331211
5330310324423023
614055545211325
71412260353116
oct244704337545
963108067518
1022130311013
119426a90238
124357490b45
132118b491b5
1410dd1c220d
15897cbe2c8
hex52711bf65

22130311013 has 2 divisors, whose sum is σ = 22130311014. Its totient is φ = 22130311012.

The previous prime is 22130310989. The next prime is 22130311033. The reversal of 22130311013 is 31011303122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20078039809 + 2052271204 = 141697^2 + 45302^2 .

It is a cyclic number.

It is not a de Polignac number, because 22130311013 - 224 = 22113533797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22130310982 and 22130311000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22130311033) 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, 11065155506 + 11065155507.

It is an arithmetic number, because the mean of its divisors is an integer number (11065155507).

Almost surely, 222130311013 is an apocalyptic number.

It is an amenable number.

22130311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22130311013 is an equidigital number, since it uses as much as digits as its factorization.

22130311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22130311013 its reverse (31011303122), we get a palindrome (53141614135).

The spelling of 22130311013 in words is "twenty-two billion, one hundred thirty million, three hundred eleven thousand, thirteen".