Search a number
-
+
10112210233 is a prime number
BaseRepresentation
bin10010110101011110…
…00001010100111001
3222002201220111121221
421122233001110321
5131202211211413
64351231432041
7505406240326
oct113257012471
928081814557
1010112210233
11431a096244
121b62685621
13c52017868
146bd011b4d
153e2b7568d
hex25abc1539

10112210233 has 2 divisors, whose sum is σ = 10112210234. Its totient is φ = 10112210232.

The previous prime is 10112210221. The next prime is 10112210243. The reversal of 10112210233 is 33201221101.

10112210233 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., 10110704704 + 1505529 = 100552^2 + 1227^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112210233 - 25 = 10112210201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112210243) 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, 5056105116 + 5056105117.

It is an arithmetic number, because the mean of its divisors is an integer number (5056105117).

Almost surely, 210112210233 is an apocalyptic number.

It is an amenable number.

10112210233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112210233 is an equidigital number, since it uses as much as digits as its factorization.

10112210233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10112210233 its reverse (33201221101), we get a palindrome (43313431334).

The spelling of 10112210233 in words is "ten billion, one hundred twelve million, two hundred ten thousand, two hundred thirty-three".