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3123320309 is a prime number
BaseRepresentation
bin1011101000101010…
…0001010111110101
322001200002002222222
42322022201113311
522344032222214
61233531332125
7140253533054
oct27212412765
98050062888
103123320309
11136303a85a
12731bb1045
133aa101835
14218b4839b
1513430338e
hexba2a15f5

3123320309 has 2 divisors, whose sum is σ = 3123320310. Its totient is φ = 3123320308.

The previous prime is 3123320297. The next prime is 3123320311. The reversal of 3123320309 is 9030233213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3100039684 + 23280625 = 55678^2 + 4825^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123320309 - 24 = 3123320293 is a prime.

It is a super-2 number, since 2×31233203092 = 19510259505223710962, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3123320311, it forms a pair of twin primes.

It is a Chen 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 (3123320399) 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, 1561660154 + 1561660155.

It is an arithmetic number, because the mean of its divisors is an integer number (1561660155).

Almost surely, 23123320309 is an apocalyptic number.

It is an amenable number.

3123320309 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123320309 is an equidigital number, since it uses as much as digits as its factorization.

3123320309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 3123320309 is about 55886.6738051210. The cubic root of 3123320309 is about 1461.7468783592.

The spelling of 3123320309 in words is "three billion, one hundred twenty-three million, three hundred twenty thousand, three hundred nine".