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12831019769 is a prime number
BaseRepresentation
bin10111111001100100…
…11101001011111001
31020010012211100011102
423330302131023321
5202234220113034
65521113141145
7632651603621
oct137462351371
936105740142
1012831019769
11549485a077
1225a10ba7b5
1312963888b9
1489a13d881
155016c397e
hex2fcc9d2f9

12831019769 has 2 divisors, whose sum is σ = 12831019770. Its totient is φ = 12831019768.

The previous prime is 12831019763. The next prime is 12831019771. The reversal of 12831019769 is 96791013821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11925732025 + 905287744 = 109205^2 + 30088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12831019769 is a prime.

It is a super-2 number, since 2×128310197692 (a number of 21 digits) contains 22 as substring.

Together with 12831019771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12831019763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6415509884 + 6415509885.

It is an arithmetic number, because the mean of its divisors is an integer number (6415509885).

Almost surely, 212831019769 is an apocalyptic number.

It is an amenable number.

12831019769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12831019769 is an equidigital number, since it uses as much as digits as its factorization.

12831019769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 12831019769 in words is "twelve billion, eight hundred thirty-one million, nineteen thousand, seven hundred sixty-nine".