Search a number
-
+
12412013041 is a prime number
BaseRepresentation
bin10111000111101000…
…00100100111110001
31012001000101120222201
423203310010213301
5200404433404131
65411344303201
7616403240641
oct134364044761
935030346881
1012412013041
11529a29211a
1224a4911b01
13122a62101c
1485a62c521
154c9a08761
hex2e3d049f1

12412013041 has 2 divisors, whose sum is σ = 12412013042. Its totient is φ = 12412013040.

The previous prime is 12412012993. The next prime is 12412013057. The reversal of 12412013041 is 14031021421.

12412013041 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., 12214891441 + 197121600 = 110521^2 + 14040^2 .

It is a cyclic number.

It is not a de Polignac number, because 12412013041 - 27 = 12412012913 is a prime.

It is not a weakly prime, because it can be changed into another prime (12412013441) 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, 6206006520 + 6206006521.

It is an arithmetic number, because the mean of its divisors is an integer number (6206006521).

Almost surely, 212412013041 is an apocalyptic number.

It is an amenable number.

12412013041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12412013041 is an equidigital number, since it uses as much as digits as its factorization.

12412013041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12412013041 its reverse (14031021421), we get a palindrome (26443034462).

The spelling of 12412013041 in words is "twelve billion, four hundred twelve million, thirteen thousand, forty-one".