Search a number
-
+
104333314313 is a prime number
BaseRepresentation
bin110000100101011000…
…0000000100100001001
3100222022011112111222102
41201022300000210021
53202133312024223
6115532521003145
710352322352634
oct1411260004411
9328264474872
10104333314313
114027a4882a8
12182790234b5
139ab94c4657
14509a77ac1b
152aa989e928
hex184ac00909

104333314313 has 2 divisors, whose sum is σ = 104333314314. Its totient is φ = 104333314312.

The previous prime is 104333314291. The next prime is 104333314361. The reversal of 104333314313 is 313413333401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67679063104 + 36654251209 = 260152^2 + 191453^2 .

It is a cyclic number.

It is not a de Polignac number, because 104333314313 - 26 = 104333314249 is a prime.

It is not a weakly prime, because it can be changed into another prime (104333314373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52166657156 + 52166657157.

It is an arithmetic number, because the mean of its divisors is an integer number (52166657157).

Almost surely, 2104333314313 is an apocalyptic number.

It is an amenable number.

104333314313 is a deficient number, since it is larger than the sum of its proper divisors (1).

104333314313 is an equidigital number, since it uses as much as digits as its factorization.

104333314313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 104333314313 its reverse (313413333401), we get a palindrome (417746647714).

The spelling of 104333314313 in words is "one hundred four billion, three hundred thirty-three million, three hundred fourteen thousand, three hundred thirteen".