Search a number
-
+
10404310933 is a prime number
BaseRepresentation
bin10011011000010010…
…10010111110010101
3222212002112202110101
421230021102332111
5132302000422213
64440224254101
7515554120012
oct115411227625
928762482411
1010404310933
114459a64885
122024471331
13c9a6ab003
14709b2a709
1540d623bdd
hex26c252f95

10404310933 has 2 divisors, whose sum is σ = 10404310934. Its totient is φ = 10404310932.

The previous prime is 10404310919. The next prime is 10404310937. The reversal of 10404310933 is 33901340401.

10404310933 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., 9571295889 + 833015044 = 97833^2 + 28862^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404310933 - 25 = 10404310901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10404310937) 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, 5202155466 + 5202155467.

It is an arithmetic number, because the mean of its divisors is an integer number (5202155467).

Almost surely, 210404310933 is an apocalyptic number.

It is an amenable number.

10404310933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10404310933 is an equidigital number, since it uses as much as digits as its factorization.

10404310933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 10404310933 in words is "ten billion, four hundred four million, three hundred ten thousand, nine hundred thirty-three".