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12630404681 is a prime number
BaseRepresentation
bin10111100001101010…
…01010111001001001
31012121020100000222222
423300311022321021
5201331340422211
65445145223425
7624664445156
oct136065127111
935536300888
1012630404681
1153a1596a84
122545a91b75
13126394764b
1487b63b22d
154ddc971db
hex2f0d4ae49

12630404681 has 2 divisors, whose sum is σ = 12630404682. Its totient is φ = 12630404680.

The previous prime is 12630404557. The next prime is 12630404687. The reversal of 12630404681 is 18640403621.

12630404681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12480464656 + 149940025 = 111716^2 + 12245^2 .

It is a cyclic number.

It is not a de Polignac number, because 12630404681 - 230 = 11556662857 is a prime.

It is a super-2 number, since 2×126304046812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12630404687) 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, 6315202340 + 6315202341.

It is an arithmetic number, because the mean of its divisors is an integer number (6315202341).

Almost surely, 212630404681 is an apocalyptic number.

It is an amenable number.

12630404681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12630404681 is an equidigital number, since it uses as much as digits as its factorization.

12630404681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 12630404681 in words is "twelve billion, six hundred thirty million, four hundred four thousand, six hundred eighty-one".