Search a number
-
+
10395385309 is a prime number
BaseRepresentation
bin10011010111001110…
…01111110111011101
3222211110202021210201
421223213033313131
5132242204312214
64435305103501
7515415213541
oct115347176735
928743667721
1010395385309
114454a18931
122021487b91
13c988a448a
14708885a21
1540c95e274
hex26b9cfddd

10395385309 has 2 divisors, whose sum is σ = 10395385310. Its totient is φ = 10395385308.

The previous prime is 10395385249. The next prime is 10395385373. The reversal of 10395385309 is 90358359301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10216762084 + 178623225 = 101078^2 + 13365^2 .

It is a cyclic number.

It is not a de Polignac number, because 10395385309 - 27 = 10395385181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10395388309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5197692654 + 5197692655.

It is an arithmetic number, because the mean of its divisors is an integer number (5197692655).

Almost surely, 210395385309 is an apocalyptic number.

It is an amenable number.

10395385309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10395385309 is an equidigital number, since it uses as much as digits as its factorization.

10395385309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 437400, while the sum is 46.

The spelling of 10395385309 in words is "ten billion, three hundred ninety-five million, three hundred eighty-five thousand, three hundred nine".