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233042241313393 is a prime number
BaseRepresentation
bin110100111111001101100000…
…000000101101101001110001
31010120010121202111002010222021
4310333031200000231221301
5221021131002234012033
62143350043330111441
7100041513662346241
oct6477154000555161
91116117674063867
10233042241313393
1168288728906036
122217919311b581
13a005a34748505
144179439dc7b21
151be1e6bc21b2d
hexd3f36002da71

233042241313393 has 2 divisors, whose sum is σ = 233042241313394. Its totient is φ = 233042241313392.

The previous prime is 233042241313381. The next prime is 233042241313489. The reversal of 233042241313393 is 393313142240332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120287745250929 + 112754496062464 = 10967577^2 + 10618592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233042241313393 is a prime.

It is not a weakly prime, because it can be changed into another prime (233042241313313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116521120656696 + 116521120656697.

It is an arithmetic number, because the mean of its divisors is an integer number (116521120656697).

Almost surely, 2233042241313393 is an apocalyptic number.

It is an amenable number.

233042241313393 is a deficient number, since it is larger than the sum of its proper divisors (1).

233042241313393 is an equidigital number, since it uses as much as digits as its factorization.

233042241313393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 43.

The spelling of 233042241313393 in words is "two hundred thirty-three trillion, forty-two billion, two hundred forty-one million, three hundred thirteen thousand, three hundred ninety-three".