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12802681 is a prime number
BaseRepresentation
bin110000110101…
…101001111001
3220002102222101
4300311221321
511234141211
61134223401
7213551413
oct60655171
926072871
1012802681
117254931
124354b61
132863468
1419b39b3
1511cd5c1
hexc35a79

12802681 has 2 divisors, whose sum is σ = 12802682. Its totient is φ = 12802680.

The previous prime is 12802631. The next prime is 12802709. The reversal of 12802681 is 18620821.

It is an a-pointer prime, because the next prime (12802709) can be obtained adding 12802681 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6677056 + 6125625 = 2584^2 + 2475^2 .

It is an emirp because it is prime and its reverse (18620821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12802681 - 27 = 12802553 is a prime.

It is a super-2 number, since 2×128026812 = 327817281575522, which contains 22 as substring.

It is equal to p837262 and since 12802681 and 837262 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (12802631) 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, 6401340 + 6401341.

It is an arithmetic number, because the mean of its divisors is an integer number (6401341).

Almost surely, 212802681 is an apocalyptic number.

It is an amenable number.

12802681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12802681 is an equidigital number, since it uses as much as digits as its factorization.

12802681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12802681 is about 3578.0834255227. The cubic root of 12802681 is about 233.9377497743.

The spelling of 12802681 in words is "twelve million, eight hundred two thousand, six hundred eighty-one".