Search a number
-
+
33243312413 is a prime number
BaseRepresentation
bin11110111101011101…
…001011000100011101
310011210210011020121002
4132331131023010131
51021040241444123
623134411320045
72254541331113
oct367535130435
9104723136532
1033243312413
1113109a8a713
126539150025
13319a2ba07c
1418750a9ab3
15ce8730528
hex7bd74b11d

33243312413 has 2 divisors, whose sum is σ = 33243312414. Its totient is φ = 33243312412.

The previous prime is 33243312373. The next prime is 33243312433. The reversal of 33243312413 is 31421334233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29819073124 + 3424239289 = 172682^2 + 58517^2 .

It is a cyclic number.

It is not a de Polignac number, because 33243312413 - 212 = 33243308317 is a prime.

It is a super-3 number, since 3×332433124133 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33243312433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16621656206 + 16621656207.

It is an arithmetic number, because the mean of its divisors is an integer number (16621656207).

Almost surely, 233243312413 is an apocalyptic number.

It is an amenable number.

33243312413 is a deficient number, since it is larger than the sum of its proper divisors (1).

33243312413 is an equidigital number, since it uses as much as digits as its factorization.

33243312413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 29.

Adding to 33243312413 its reverse (31421334233), we get a palindrome (64664646646).

The spelling of 33243312413 in words is "thirty-three billion, two hundred forty-three million, three hundred twelve thousand, four hundred thirteen".