Search a number
-
+
10395706021 is a prime number
BaseRepresentation
bin10011010111010000…
…11110001010100101
3222211111100120201221
421223220132022211
5132242300043041
64435320020341
7515421020551
oct115350361245
928744316657
1010395706021
114455117888
1220216016b1
13c9898744c
1470892a861
1540c9c42d1
hex26ba1e2a5

10395706021 has 2 divisors, whose sum is σ = 10395706022. Its totient is φ = 10395706020.

The previous prime is 10395706007. The next prime is 10395706033. The reversal of 10395706021 is 12060759301.

10395706021 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., 7606281796 + 2789424225 = 87214^2 + 52815^2 .

It is a cyclic number.

It is not a de Polignac number, because 10395706021 - 211 = 10395703973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10395706001) 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, 5197853010 + 5197853011.

It is an arithmetic number, because the mean of its divisors is an integer number (5197853011).

Almost surely, 210395706021 is an apocalyptic number.

It is an amenable number.

10395706021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10395706021 is an equidigital number, since it uses as much as digits as its factorization.

10395706021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 10395706021 in words is "ten billion, three hundred ninety-five million, seven hundred six thousand, twenty-one".