Search a number
-
+
12041355041 is a prime number
BaseRepresentation
bin10110011011011100…
…00111111100100001
31011002011221012210122
423031232013330201
5144130041330131
65310504010025
7604252554242
oct131556077441
934064835718
1012041355041
11511a0382a1
122400760915
13119b8b4071
14823304cc9
154a71ddd7b
hex2cdb87f21

12041355041 has 2 divisors, whose sum is σ = 12041355042. Its totient is φ = 12041355040.

The previous prime is 12041355019. The next prime is 12041355049. The reversal of 12041355041 is 14055314021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11940151441 + 101203600 = 109271^2 + 10060^2 .

It is a cyclic number.

It is not a de Polignac number, because 12041355041 - 218 = 12041092897 is a prime.

It is a super-2 number, since 2×120413550412 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12041355041.

It is not a weakly prime, because it can be changed into another prime (12041355049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6020677520 + 6020677521.

It is an arithmetic number, because the mean of its divisors is an integer number (6020677521).

Almost surely, 212041355041 is an apocalyptic number.

It is an amenable number.

12041355041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12041355041 is an equidigital number, since it uses as much as digits as its factorization.

12041355041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 12041355041 its reverse (14055314021), we get a palindrome (26096669062).

The spelling of 12041355041 in words is "twelve billion, forty-one million, three hundred fifty-five thousand, forty-one".