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12421012133 is a prime number
BaseRepresentation
bin10111001000101100…
…11001101010100101
31012001122022210102102
423210112121222211
5200414234342013
65412305221445
7616542601235
oct134426315245
935048283372
1012421012133
1152a4379292
1224a7931885
13122c45212a
1485b8d1cc5
154ca6d4d58
hex2e4599aa5

12421012133 has 2 divisors, whose sum is σ = 12421012134. Its totient is φ = 12421012132.

The previous prime is 12421012099. The next prime is 12421012151. The reversal of 12421012133 is 33121012421.

12421012133 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., 12319446049 + 101566084 = 110993^2 + 10078^2 .

It is a cyclic number.

It is not a de Polignac number, because 12421012133 - 28 = 12421011877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12421012183) 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, 6210506066 + 6210506067.

It is an arithmetic number, because the mean of its divisors is an integer number (6210506067).

Almost surely, 212421012133 is an apocalyptic number.

It is an amenable number.

12421012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12421012133 is an equidigital number, since it uses as much as digits as its factorization.

12421012133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12421012133 its product of nonzero digits (288), we get a palindrome (12421012421).

Adding to 12421012133 its reverse (33121012421), we get a palindrome (45542024554).

The spelling of 12421012133 in words is "twelve billion, four hundred twenty-one million, twelve thousand, one hundred thirty-three".