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823141635233 is a prime number
BaseRepresentation
bin10111111101001110001…
…00001001010010100001
32220200200011012121120212
423332213010021102201
5101441243224311413
61430051313543505
7113320134312221
oct13764704112241
92820604177525
10823141635233
11298101aa2875
12113644574b95
135c811499268
142bba99a2081
1516629c7cca8
hexbfa71094a1

823141635233 has 2 divisors, whose sum is σ = 823141635234. Its totient is φ = 823141635232.

The previous prime is 823141635139. The next prime is 823141635293. The reversal of 823141635233 is 332536141328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 815965342864 + 7176292369 = 903308^2 + 84713^2 .

It is a cyclic number.

It is not a de Polignac number, because 823141635233 - 232 = 818846667937 is a prime.

It is not a weakly prime, because it can be changed into another prime (823141635293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411570817616 + 411570817617.

It is an arithmetic number, because the mean of its divisors is an integer number (411570817617).

Almost surely, 2823141635233 is an apocalyptic number.

It is an amenable number.

823141635233 is a deficient number, since it is larger than the sum of its proper divisors (1).

823141635233 is an equidigital number, since it uses as much as digits as its factorization.

823141635233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 41.

The spelling of 823141635233 in words is "eight hundred twenty-three billion, one hundred forty-one million, six hundred thirty-five thousand, two hundred thirty-three".