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12813149 is a prime number
BaseRepresentation
bin110000111000…
…001101011101
3220002222100002
4300320031131
511240010044
61134344045
7213624056
oct60701535
926088302
1012813149
117261788
12435b025
13286815b
1419b772d
1511d174e
hexc3835d

12813149 has 2 divisors, whose sum is σ = 12813150. Its totient is φ = 12813148.

The previous prime is 12813131. The next prime is 12813161. The reversal of 12813149 is 94131821.

12813149 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., 10936249 + 1876900 = 3307^2 + 1370^2 .

It is a cyclic number.

It is not a de Polignac number, because 12813149 - 28 = 12812893 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12813109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6406574 + 6406575.

It is an arithmetic number, because the mean of its divisors is an integer number (6406575).

Almost surely, 212813149 is an apocalyptic number.

It is an amenable number.

12813149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12813149 is an equidigital number, since it uses as much as digits as its factorization.

12813149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 29.

The square root of 12813149 is about 3579.5459209235. The cubic root of 12813149 is about 234.0014914557.

The spelling of 12813149 in words is "twelve million, eight hundred thirteen thousand, one hundred forty-nine".