Search a number
-
+
13331211919 is a prime number
BaseRepresentation
bin11000110101001101…
…00010011010001111
31021102002000201210121
430122212202122033
5204300242240134
610042502045411
7651234301024
oct143246423217
937362021717
1013331211919
115721137913
122700719867
131345baa29c
1490674554b
15530578ab4
hex31a9a268f

13331211919 has 2 divisors, whose sum is σ = 13331211920. Its totient is φ = 13331211918.

The previous prime is 13331211853. The next prime is 13331211923. The reversal of 13331211919 is 91911213331.

13331211919 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 is a cyclic number.

It is not a de Polignac number, because 13331211919 - 227 = 13196994191 is a prime.

It is a super-2 number, since 2×133312119192 (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 (13331211119) 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, 6665605959 + 6665605960.

It is an arithmetic number, because the mean of its divisors is an integer number (6665605960).

Almost surely, 213331211919 is an apocalyptic number.

13331211919 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331211919 is an equidigital number, since it uses as much as digits as its factorization.

13331211919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 34.

The spelling of 13331211919 in words is "thirteen billion, three hundred thirty-one million, two hundred eleven thousand, nine hundred nineteen".