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10680803213 is a prime number
BaseRepresentation
bin10011111001010000…
…00001111110001101
31000120100211000120012
421330220001332031
5133333241200323
64523502403005
7525452220653
oct117450017615
930510730505
1010680803213
1145910425a3
1220a0b90465
131012a67c02
14734740dd3
15427a3c678
hex27ca01f8d

10680803213 has 2 divisors, whose sum is σ = 10680803214. Its totient is φ = 10680803212.

The previous prime is 10680803201. The next prime is 10680803261. The reversal of 10680803213 is 31230808601.

It is a happy number.

10680803213 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., 9552716644 + 1128086569 = 97738^2 + 33587^2 .

It is a cyclic number.

It is not a de Polignac number, because 10680803213 - 210 = 10680802189 is a prime.

It is a super-2 number, since 2×106808032132 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10680803213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10680803293) 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, 5340401606 + 5340401607.

It is an arithmetic number, because the mean of its divisors is an integer number (5340401607).

Almost surely, 210680803213 is an apocalyptic number.

It is an amenable number.

10680803213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10680803213 is an equidigital number, since it uses as much as digits as its factorization.

10680803213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10680803213 in words is "ten billion, six hundred eighty million, eight hundred three thousand, two hundred thirteen".