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10139436217 is a prime number
BaseRepresentation
bin10010111000101101…
…11000010010111001
3222011122010201122201
421130112320102321
5131231143424332
64354043150201
7506156533351
oct113426702271
928148121581
1010139436217
1143334a1559
121b6b815361
13c5785b001
146c289bb61
153e52525e7
hex25c5b84b9

10139436217 has 2 divisors, whose sum is σ = 10139436218. Its totient is φ = 10139436216.

The previous prime is 10139436193. The next prime is 10139436233. The reversal of 10139436217 is 71263493101.

10139436217 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 can be written as a sum of positive squares in only one way, i.e., 9965829241 + 173606976 = 99829^2 + 13176^2 .

It is an emirp because it is prime and its reverse (71263493101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10139436217 - 219 = 10138911929 is a prime.

It is a super-2 number, since 2×101394362172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10139436247) 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, 5069718108 + 5069718109.

It is an arithmetic number, because the mean of its divisors is an integer number (5069718109).

Almost surely, 210139436217 is an apocalyptic number.

It is an amenable number.

10139436217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10139436217 is an equidigital number, since it uses as much as digits as its factorization.

10139436217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 10139436217 in words is "ten billion, one hundred thirty-nine million, four hundred thirty-six thousand, two hundred seventeen".