Search a number
-
+
10333413319 is a prime number
BaseRepresentation
bin10011001111110101…
…10101111111000111
3222200011010210012211
421213322311333013
5132130323211234
64425212524251
7514033364305
oct114772657707
928604123184
1010333413319
114422a40409
122004780687
13c88ab6a68
14700553275
154072bc164
hex267eb5fc7

10333413319 has 2 divisors, whose sum is σ = 10333413320. Its totient is φ = 10333413318.

The previous prime is 10333413289. The next prime is 10333413329. The reversal of 10333413319 is 91331433301.

10333413319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10333413319 - 27 = 10333413191 is a prime.

It is a super-2 number, since 2×103334133192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10333413329) 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, 5166706659 + 5166706660.

It is an arithmetic number, because the mean of its divisors is an integer number (5166706660).

Almost surely, 210333413319 is an apocalyptic number.

10333413319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333413319 is an equidigital number, since it uses as much as digits as its factorization.

10333413319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 10333413319 in words is "ten billion, three hundred thirty-three million, four hundred thirteen thousand, three hundred nineteen".