Search a number
-
+
10413287249 is a prime number
BaseRepresentation
bin10011011001010111…
…00010011101010001
3222212201102210122112
421230223202131101
5132311300142444
64441144515105
7516023324021
oct115453423521
928781383575
1010413287249
114464035922
12202747ba95
13c9c501941
1470adc5a81
1540e2e869e
hex26cae2751

10413287249 has 2 divisors, whose sum is σ = 10413287250. Its totient is φ = 10413287248.

The previous prime is 10413287243. The next prime is 10413287251. The reversal of 10413287249 is 94278231401.

10413287249 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., 8570130625 + 1843156624 = 92575^2 + 42932^2 .

It is a cyclic number.

It is not a de Polignac number, because 10413287249 - 216 = 10413221713 is a prime.

It is a Sophie Germain prime.

Together with 10413287251, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10413287243) 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, 5206643624 + 5206643625.

It is an arithmetic number, because the mean of its divisors is an integer number (5206643625).

Almost surely, 210413287249 is an apocalyptic number.

It is an amenable number.

10413287249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413287249 is an equidigital number, since it uses as much as digits as its factorization.

10413287249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 10413287249 in words is "ten billion, four hundred thirteen million, two hundred eighty-seven thousand, two hundred forty-nine".