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10381590113 is a prime number
BaseRepresentation
bin10011010101100101…
…00111111001100001
3222210111210102100112
421222302213321201
5132230141340423
64434053301105
7515160026366
oct115262477141
928714712315
1010381590113
114448156344
122018934795
13c95a8433b
14706ad446d
1540b636a78
hex26aca7e61

10381590113 has 2 divisors, whose sum is σ = 10381590114. Its totient is φ = 10381590112.

The previous prime is 10381590083. The next prime is 10381590137. The reversal of 10381590113 is 31109518301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6129637264 + 4251952849 = 78292^2 + 65207^2 .

It is an emirp because it is prime and its reverse (31109518301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10381590113 - 28 = 10381589857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10381590113.

It is not a weakly prime, because it can be changed into another prime (10381590313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5190795056 + 5190795057.

It is an arithmetic number, because the mean of its divisors is an integer number (5190795057).

Almost surely, 210381590113 is an apocalyptic number.

It is an amenable number.

10381590113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10381590113 is an equidigital number, since it uses as much as digits as its factorization.

10381590113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 10381590113 in words is "ten billion, three hundred eighty-one million, five hundred ninety thousand, one hundred thirteen".