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13000049 is a prime number
BaseRepresentation
bin110001100101…
…110101110001
3220110110201022
4301211311301
511312000144
61142345225
7215333006
oct61456561
926413638
1013000049
11737a147
12442b215
13290224a
141a258ad
15121bcee
hexc65d71

13000049 has 2 divisors, whose sum is σ = 13000050. Its totient is φ = 13000048.

The previous prime is 13000027. The next prime is 13000069. The reversal of 13000049 is 94000031.

13000049 is digitally balanced in base 3, 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., 11607649 + 1392400 = 3407^2 + 1180^2 .

It is an emirp because it is prime and its reverse (94000031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13000049 - 212 = 12995953 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13000069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500024 + 6500025.

It is an arithmetic number, because the mean of its divisors is an integer number (6500025).

Almost surely, 213000049 is an apocalyptic number.

It is an amenable number.

13000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000049 is an equidigital number, since it uses as much as digits as its factorization.

13000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13000049 is about 3605.5580705350. The cubic root of 13000049 is about 235.1337641958.

The spelling of 13000049 in words is "thirteen million, forty-nine", and thus it is an aban number and an uban number.