Search a number
-
+
12441123326057 is a prime number
BaseRepresentation
bin1011010100001010110010…
…1111001000100001101001
31122001100201021102212221112
42311002230233020201221
53112313410032413212
642243212333520105
72422561430301266
oct265025457104151
948040637385845
1012441123326057
113a67283861788
12148b20b043035
136c3267a3a44a
1431022160026d
1516894ec43422
hexb50acbc8869

12441123326057 has 2 divisors, whose sum is σ = 12441123326058. Its totient is φ = 12441123326056.

The previous prime is 12441123326053. The next prime is 12441123326161. The reversal of 12441123326057 is 75062332114421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12099969207001 + 341154119056 = 3478501^2 + 584084^2 .

It is a cyclic number.

It is not a de Polignac number, because 12441123326057 - 22 = 12441123326053 is a prime.

It is a super-2 number, since 2×124411233260572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12441123326053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6220561663028 + 6220561663029.

It is an arithmetic number, because the mean of its divisors is an integer number (6220561663029).

Almost surely, 212441123326057 is an apocalyptic number.

It is an amenable number.

12441123326057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12441123326057 is an equidigital number, since it uses as much as digits as its factorization.

12441123326057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 12441123326057 in words is "twelve trillion, four hundred forty-one billion, one hundred twenty-three million, three hundred twenty-six thousand, fifty-seven".