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10277728117 is a prime number
BaseRepresentation
bin10011001001001100…
…11010111101110101
3222112021100200110221
421210212122331311
5132022044244432
64415503214341
7512456150626
oct114446327565
928467320427
1010277728117
1143a4567288
121ba9ba73b1
13c7a3baa37
146d6db9a4d
1540246cb97
hex26499af75

10277728117 has 2 divisors, whose sum is σ = 10277728118. Its totient is φ = 10277728116.

The previous prime is 10277728103. The next prime is 10277728129. The reversal of 10277728117 is 71182777201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7813499236 + 2464228881 = 88394^2 + 49641^2 .

It is a cyclic number.

It is not a de Polignac number, because 10277728117 - 27 = 10277727989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10277728157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5138864058 + 5138864059.

It is an arithmetic number, because the mean of its divisors is an integer number (5138864059).

Almost surely, 210277728117 is an apocalyptic number.

It is an amenable number.

10277728117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10277728117 is an equidigital number, since it uses as much as digits as its factorization.

10277728117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76832, while the sum is 43.

The spelling of 10277728117 in words is "ten billion, two hundred seventy-seven million, seven hundred twenty-eight thousand, one hundred seventeen".