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10857713093 is a prime number
BaseRepresentation
bin10100001110010101…
…11000110111000101
31001000200200222021222
422013022320313011
5134214033304333
64553222250125
7533031016133
oct120712706705
931020628258
1010857713093
114671994607
122130286945
1310405c9406
14750032753
15438335298
hex2872b8dc5

10857713093 has 2 divisors, whose sum is σ = 10857713094. Its totient is φ = 10857713092.

The previous prime is 10857713047. The next prime is 10857713281. The reversal of 10857713093 is 39031775801.

10857713093 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., 10241035204 + 616677889 = 101198^2 + 24833^2 .

It is a cyclic number.

It is not a de Polignac number, because 10857713093 - 212 = 10857708997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10857713003) 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, 5428856546 + 5428856547.

It is an arithmetic number, because the mean of its divisors is an integer number (5428856547).

Almost surely, 210857713093 is an apocalyptic number.

It is an amenable number.

10857713093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10857713093 is an equidigital number, since it uses as much as digits as its factorization.

10857713093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 10857713093 in words is "ten billion, eight hundred fifty-seven million, seven hundred thirteen thousand, ninety-three".