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814213913 is a prime number
BaseRepresentation
bin110000100001111…
…110101100011001
32002202002100111212
4300201332230121
53131414321123
6212443232505
726114463332
oct6041765431
92082070455
10814213913
11388669a67
121a8818735
13cc8bb7a6
147a1c9289
154b733878
hex3087eb19

814213913 has 2 divisors, whose sum is σ = 814213914. Its totient is φ = 814213912.

The previous prime is 814213849. The next prime is 814213943. The reversal of 814213913 is 319312418.

814213913 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., 769951504 + 44262409 = 27748^2 + 6653^2 .

It is a cyclic number.

It is not a de Polignac number, because 814213913 - 26 = 814213849 is a prime.

It is a super-2 number, since 2×8142139132 = 1325888592245543138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 814213913.

It is not a weakly prime, because it can be changed into another prime (814213943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407106956 + 407106957.

It is an arithmetic number, because the mean of its divisors is an integer number (407106957).

Almost surely, 2814213913 is an apocalyptic number.

It is an amenable number.

814213913 is a deficient number, since it is larger than the sum of its proper divisors (1).

814213913 is an equidigital number, since it uses as much as digits as its factorization.

814213913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 32.

The square root of 814213913 is about 28534.4338125010. The cubic root of 814213913 is about 933.7834514102.

The spelling of 814213913 in words is "eight hundred fourteen million, two hundred thirteen thousand, nine hundred thirteen".