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10381867021 is a prime number
BaseRepresentation
bin10011010101100111…
…01011100000001101
3222210112022111012101
421222303223200031
5132230224221041
64434103235101
7515162261611
oct115263534015
928715274171
1010381867021
114448325399
122018a48a91
13c95b503a6
14706b67341
1540b68db31
hex26aceb80d

10381867021 has 2 divisors, whose sum is σ = 10381867022. Its totient is φ = 10381867020.

The previous prime is 10381866997. The next prime is 10381867033. The reversal of 10381867021 is 12076818301.

10381867021 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., 7723948996 + 2657918025 = 87886^2 + 51555^2 .

It is a cyclic number.

It is not a de Polignac number, because 10381867021 - 219 = 10381342733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10381867051) 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, 5190933510 + 5190933511.

It is an arithmetic number, because the mean of its divisors is an integer number (5190933511).

Almost surely, 210381867021 is an apocalyptic number.

It is an amenable number.

10381867021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10381867021 is an equidigital number, since it uses as much as digits as its factorization.

10381867021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10381867021 in words is "ten billion, three hundred eighty-one million, eight hundred sixty-seven thousand, twenty-one".