Search a number
-
+
212233334233213 is a prime number
BaseRepresentation
bin110000010000011001101100…
…011111110001100001111101
31000211110022022222020100100101
4300100121230133301201331
5210304212332030430323
62031214351530001101
762463231604514446
oct6020315437614175
91024408288210311
10212233334233213
1161695719299117
121b9782aa276191
13915669606ca87
143a5a21089a2cd
151980a21b23dad
hexc1066c7f187d

212233334233213 has 2 divisors, whose sum is σ = 212233334233214. Its totient is φ = 212233334233212.

The previous prime is 212233334233103. The next prime is 212233334233229. The reversal of 212233334233213 is 312332433332212.

212233334233213 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., 186829587147844 + 25403747085369 = 13668562^2 + 5040213^2 .

It is a cyclic number.

It is not a de Polignac number, because 212233334233213 - 213 = 212233334225021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212233334237213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106116667116606 + 106116667116607.

It is an arithmetic number, because the mean of its divisors is an integer number (106116667116607).

Almost surely, 2212233334233213 is an apocalyptic number.

It is an amenable number.

212233334233213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212233334233213 is an equidigital number, since it uses as much as digits as its factorization.

212233334233213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 279936, while the sum is 37.

Adding to 212233334233213 its reverse (312332433332212), we get a palindrome (524565767565425).

The spelling of 212233334233213 in words is "two hundred twelve trillion, two hundred thirty-three billion, three hundred thirty-four million, two hundred thirty-three thousand, two hundred thirteen".