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10384192681 is a prime number
BaseRepresentation
bin10011010101111001…
…00011010010101001
3222210200200122101221
421222330203102221
5132231323131211
64434225142041
7515221116142
oct115274432251
928720618357
1010384192681
114449673725
12201978a921
13c96485b15
147071b0ac9
1540b99cc71
hex26af234a9

10384192681 has 2 divisors, whose sum is σ = 10384192682. Its totient is φ = 10384192680.

The previous prime is 10384192627. The next prime is 10384192733. The reversal of 10384192681 is 18629148301.

10384192681 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., 7971811225 + 2412381456 = 89285^2 + 49116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10384192681 is a prime.

It is a super-2 number, since 2×103841926812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10384192381) 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, 5192096340 + 5192096341.

It is an arithmetic number, because the mean of its divisors is an integer number (5192096341).

Almost surely, 210384192681 is an apocalyptic number.

It is an amenable number.

10384192681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10384192681 is an equidigital number, since it uses as much as digits as its factorization.

10384192681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 10384192681 in words is "ten billion, three hundred eighty-four million, one hundred ninety-two thousand, six hundred eighty-one".