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12226415009 is a prime number
BaseRepresentation
bin10110110001100000…
…00100100110100001
31011120002011020100112
423120300010212201
5200014430240014
65341114301105
7611660545544
oct133060044641
934502136315
1012226415009
115204546616
122452727795
1311cb03a0c3
1483db1885b
154b859673e
hex2d8c049a1

12226415009 has 2 divisors, whose sum is σ = 12226415010. Its totient is φ = 12226415008.

The previous prime is 12226414997. The next prime is 12226415021. The reversal of 12226415009 is 90051462221.

It is a balanced prime because it is at equal distance from previous prime (12226414997) and next prime (12226415021).

It can be written as a sum of positive squares in only one way, i.e., 11555605009 + 670810000 = 107497^2 + 25900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12226415009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12226415039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6113207504 + 6113207505.

It is an arithmetic number, because the mean of its divisors is an integer number (6113207505).

Almost surely, 212226415009 is an apocalyptic number.

It is an amenable number.

12226415009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12226415009 is an equidigital number, since it uses as much as digits as its factorization.

12226415009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 12226415009 in words is "twelve billion, two hundred twenty-six million, four hundred fifteen thousand, nine".