Search a number
-
+
233312313212281 is a prime number
BaseRepresentation
bin110101000011001001000001…
…100011001111110101111001
31010121002102212021000010002001
4311003021001203033311321
5221040042104140243111
62144114110320141001
7100100154422535532
oct6503110143176571
91117072767003061
10233312313212281
1168382218406a76
12222015a5767761
13a025345066c44
14418853a479689
151be8ec6c5a1c1
hexd432418cfd79

233312313212281 has 2 divisors, whose sum is σ = 233312313212282. Its totient is φ = 233312313212280.

The previous prime is 233312313212269. The next prime is 233312313212339. The reversal of 233312313212281 is 182212313213332.

It is a happy number.

233312313212281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212305298490000 + 21007014722281 = 14570700^2 + 4583341^2 .

It is a cyclic number.

It is not a de Polignac number, because 233312313212281 - 215 = 233312313179513 is a prime.

It is a super-2 number, since 2×2333123132122812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233312313212281.

It is not a weakly prime, because it can be changed into another prime (233312313212221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116656156606140 + 116656156606141.

It is an arithmetic number, because the mean of its divisors is an integer number (116656156606141).

Almost surely, 2233312313212281 is an apocalyptic number.

It is an amenable number.

233312313212281 is a deficient number, since it is larger than the sum of its proper divisors (1).

233312313212281 is an equidigital number, since it uses as much as digits as its factorization.

233312313212281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 37.

The spelling of 233312313212281 in words is "two hundred thirty-three trillion, three hundred twelve billion, three hundred thirteen million, two hundred twelve thousand, two hundred eighty-one".