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10586683109 is a prime number
BaseRepresentation
bin10011101110000001…
…11111011011100101
31000022210201020001102
421313000333123211
5133140142324414
64510301205445
7523230215222
oct116700773345
930283636042
1010586683109
1145429a7792
122075560885
13cc9402842
14726040949
1541e649ede
hex27703f6e5

10586683109 has 2 divisors, whose sum is σ = 10586683110. Its totient is φ = 10586683108.

The previous prime is 10586683091. The next prime is 10586683157. The reversal of 10586683109 is 90138668501.

Together with previous prime (10586683091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10099245025 + 487438084 = 100495^2 + 22078^2 .

It is a cyclic number.

It is not a de Polignac number, because 10586683109 - 28 = 10586682853 is a prime.

It is a super-2 number, since 2×105866831092 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10586683609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5293341554 + 5293341555.

It is an arithmetic number, because the mean of its divisors is an integer number (5293341555).

Almost surely, 210586683109 is an apocalyptic number.

It is an amenable number.

10586683109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10586683109 is an equidigital number, since it uses as much as digits as its factorization.

10586683109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 10586683109 in words is "ten billion, five hundred eighty-six million, six hundred eighty-three thousand, one hundred nine".