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4233011317 is a prime number
BaseRepresentation
bin1111110001001110…
…1010000001110101
3101221000011020212221
43330103222001311
532132122330232
61540012042341
7206620000603
oct37423520165
911830136787
104233011317
111882474067
129a17633b1
13525c96532
142c228a873
1519b950897
hexfc4ea075

4233011317 has 2 divisors, whose sum is σ = 4233011318. Its totient is φ = 4233011316.

The previous prime is 4233011207. The next prime is 4233011323. The reversal of 4233011317 is 7131103324.

4233011317 is digitally balanced in base 3, 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., 2544294481 + 1688716836 = 50441^2 + 41094^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4233011317 is a prime.

It is a super-4 number, since 4×42330113174 (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4233011291 and 4233011300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4233011327) 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, 2116505658 + 2116505659.

It is an arithmetic number, because the mean of its divisors is an integer number (2116505659).

Almost surely, 24233011317 is an apocalyptic number.

It is an amenable number.

4233011317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4233011317 is an equidigital number, since it uses as much as digits as its factorization.

4233011317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 4233011317 is about 65061.5963299395. The cubic root of 4233011317 is about 1617.6447149646.

The spelling of 4233011317 in words is "four billion, two hundred thirty-three million, eleven thousand, three hundred seventeen".