Search a number
-
+
233413424314361 is a prime number
BaseRepresentation
bin110101000100100111001100…
…001111011111011111111001
31010121110002211212101021211122
4311010213030033133133321
5221043221143111024421
62144232351414035025
7100110364150656644
oct6504471417373771
91117402755337748
10233413424314361
1168411093a4a555
1222219103648a75
13a031a39b13725
14418d3accc8a5b
151beb9437c02ab
hexd449cc3df7f9

233413424314361 has 2 divisors, whose sum is σ = 233413424314362. Its totient is φ = 233413424314360.

The previous prime is 233413424314163. The next prime is 233413424314397. The reversal of 233413424314361 is 163413424314332.

Together with previous prime (233413424314163) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202320042405625 + 31093381908736 = 14223925^2 + 5576144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233413424314361 is a prime.

It is not a weakly prime, because it can be changed into another prime (233413424310361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116706712157180 + 116706712157181.

It is an arithmetic number, because the mean of its divisors is an integer number (116706712157181).

Almost surely, 2233413424314361 is an apocalyptic number.

It is an amenable number.

233413424314361 is a deficient number, since it is larger than the sum of its proper divisors (1).

233413424314361 is an equidigital number, since it uses as much as digits as its factorization.

233413424314361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1492992, while the sum is 44.

Adding to 233413424314361 its reverse (163413424314332), we get a palindrome (396826848628693).

The spelling of 233413424314361 in words is "two hundred thirty-three trillion, four hundred thirteen billion, four hundred twenty-four million, three hundred fourteen thousand, three hundred sixty-one".