Search a number
-
+
33223230013 is a prime number
BaseRepresentation
bin11110111100010000…
…100100001000111101
310011202101100221201111
4132330100210020331
51021020121330023
623132413042021
72254205536621
oct367420441075
9104671327644
1033223230013
11130a9713496
126532486311
1331960a82ac
14187255d181
15ce6ab500d
hex7bc42423d

33223230013 has 2 divisors, whose sum is σ = 33223230014. Its totient is φ = 33223230012.

The previous prime is 33223229989. The next prime is 33223230037. The reversal of 33223230013 is 31003232233.

It is a balanced prime because it is at equal distance from previous prime (33223229989) and next prime (33223230037).

It can be written as a sum of positive squares in only one way, i.e., 33139653849 + 83576164 = 182043^2 + 9142^2 .

It is a cyclic number.

It is not a de Polignac number, because 33223230013 - 25 = 33223229981 is a prime.

It is a super-2 number, since 2×332232300132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33223230043) 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, 16611615006 + 16611615007.

It is an arithmetic number, because the mean of its divisors is an integer number (16611615007).

Almost surely, 233223230013 is an apocalyptic number.

It is an amenable number.

33223230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33223230013 is an equidigital number, since it uses as much as digits as its factorization.

33223230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33223230013 its reverse (31003232233), we get a palindrome (64226462246).

The spelling of 33223230013 in words is "thirty-three billion, two hundred twenty-three million, two hundred thirty thousand, thirteen".