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10820465351 is a prime number
BaseRepresentation
bin10100001001111001…
…10011001011000111
31000221002121120222222
422010330303023013
5134130014342401
64545412042555
7532066303133
oct120474631307
930832546888
1010820465351
114652963853
12211b90345b
131035987527
147490d83c3
15434e28c1b
hex284f332c7

10820465351 has 2 divisors, whose sum is σ = 10820465352. Its totient is φ = 10820465350.

The previous prime is 10820465321. The next prime is 10820465353. The reversal of 10820465351 is 15356402801.

10820465351 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 is a cyclic number.

It is not a de Polignac number, because 10820465351 - 226 = 10753356487 is a prime.

Together with 10820465353, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10820465353) 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, 5410232675 + 5410232676.

It is an arithmetic number, because the mean of its divisors is an integer number (5410232676).

Almost surely, 210820465351 is an apocalyptic number.

10820465351 is a deficient number, since it is larger than the sum of its proper divisors (1).

10820465351 is an equidigital number, since it uses as much as digits as its factorization.

10820465351 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10820465351 in words is "ten billion, eight hundred twenty million, four hundred sixty-five thousand, three hundred fifty-one".