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233221132320133 is a prime number
BaseRepresentation
bin110101000001110100000110…
…101111101111110110000101
31010120202201111201001212110111
4311001310012233233312011
5221032043334333221013
62144004150433153021
7100060446033665656
oct6501640657576605
91116681451055414
10233221132320133
1168347588150161
12221a79993bb771
13a0198736b0819
144183d6a7c352d
151be693bdb973d
hexd41d06befd85

233221132320133 has 2 divisors, whose sum is σ = 233221132320134. Its totient is φ = 233221132320132.

The previous prime is 233221132320091. The next prime is 233221132320161. The reversal of 233221132320133 is 331023231122332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228591478654564 + 4629653665569 = 15119242^2 + 2151663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233221132320133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233221132320095 and 233221132320104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233221132320193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116610566160066 + 116610566160067.

It is an arithmetic number, because the mean of its divisors is an integer number (116610566160067).

Almost surely, 2233221132320133 is an apocalyptic number.

It is an amenable number.

233221132320133 is a deficient number, since it is larger than the sum of its proper divisors (1).

233221132320133 is an equidigital number, since it uses as much as digits as its factorization.

233221132320133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 233221132320133 its reverse (331023231122332), we get a palindrome (564244363442465).

The spelling of 233221132320133 in words is "two hundred thirty-three trillion, two hundred twenty-one billion, one hundred thirty-two million, three hundred twenty thousand, one hundred thirty-three".