Search a number
-
+
13332015041 is a prime number
BaseRepresentation
bin11000110101010011…
…00110011111000001
31021102010112112110212
430122221212133001
5204300443440131
610042531203505
7651244154342
oct143251463701
937363475425
1013332015041
115721636254
122700a46595
1313460cb9c7
149068b40c9
15530686a2b
hex31aa667c1

13332015041 has 2 divisors, whose sum is σ = 13332015042. Its totient is φ = 13332015040.

The previous prime is 13332014987. The next prime is 13332015091. The reversal of 13332015041 is 14051023331.

13332015041 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., 7485883441 + 5846131600 = 86521^2 + 76460^2 .

It is an emirp because it is prime and its reverse (14051023331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13332015041 - 218 = 13331752897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13332014998 and 13332015016.

It is not a weakly prime, because it can be changed into another prime (13332015091) 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, 6666007520 + 6666007521.

It is an arithmetic number, because the mean of its divisors is an integer number (6666007521).

Almost surely, 213332015041 is an apocalyptic number.

It is an amenable number.

13332015041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332015041 is an equidigital number, since it uses as much as digits as its factorization.

13332015041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 13332015041 its reverse (14051023331), we get a palindrome (27383038372).

The spelling of 13332015041 in words is "thirteen billion, three hundred thirty-two million, fifteen thousand, forty-one".