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13040381 is a prime number
BaseRepresentation
bin110001101111…
…101011111101
3220112112001002
4301233223331
511314243011
61143300045
7215561414
oct61575375
926475032
1013040381
1173a7482
12444a625
132917703
141a3647b
151228c3b
hexc6fafd

13040381 has 2 divisors, whose sum is σ = 13040382. Its totient is φ = 13040380.

The previous prime is 13040359. The next prime is 13040449. The reversal of 13040381 is 18304031.

It is a happy number.

13040381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13032100 + 8281 = 3610^2 + 91^2 .

It is an emirp because it is prime and its reverse (18304031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13040381 is a prime.

It is a super-2 number, since 2×130403812 = 340103073250322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen 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 (13040341) 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, 6520190 + 6520191.

It is an arithmetic number, because the mean of its divisors is an integer number (6520191).

Almost surely, 213040381 is an apocalyptic number.

It is an amenable number.

13040381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13040381 is an equidigital number, since it uses as much as digits as its factorization.

13040381 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.

The square root of 13040381 is about 3611.1467707641. The cubic root of 13040381 is about 235.3766767308.

The spelling of 13040381 in words is "thirteen million, forty thousand, three hundred eighty-one".