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10643124917 is a prime number
BaseRepresentation
bin10011110100110000…
…10011001010110101
31000110201220202122202
421322120103022311
5133244114444132
64520035034245
7524514032465
oct117230231265
930421822582
1010643124917
114571848307
12209043b985
131008005069
1472d733ba5
15424598762
hex27a6132b5

10643124917 has 2 divisors, whose sum is σ = 10643124918. Its totient is φ = 10643124916.

The previous prime is 10643124893. The next prime is 10643124977. The reversal of 10643124917 is 71942134601.

10643124917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7038203236 + 3604921681 = 83894^2 + 60041^2 .

It is a cyclic number.

It is not a de Polignac number, because 10643124917 - 212 = 10643120821 is a prime.

It is a super-2 number, since 2×106431249172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10643124977) 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, 5321562458 + 5321562459.

It is an arithmetic number, because the mean of its divisors is an integer number (5321562459).

Almost surely, 210643124917 is an apocalyptic number.

It is an amenable number.

10643124917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10643124917 is an equidigital number, since it uses as much as digits as its factorization.

10643124917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10643124917 in words is "ten billion, six hundred forty-three million, one hundred twenty-four thousand, nine hundred seventeen".