Search a number
-
+
32000113331 is a prime number
BaseRepresentation
bin11101110011010110…
…101111101010110011
310001121010212012001122
4131303112233222303
51011014012111311
622411201252455
72211664322024
oct356326575263
9101533765048
1032000113331
111263125885a
12625093412b
13302c87bc04
141797d32c4b
15c745100db
hex7735afab3

32000113331 has 2 divisors, whose sum is σ = 32000113332. Its totient is φ = 32000113330.

The previous prime is 32000113267. The next prime is 32000113333. The reversal of 32000113331 is 13331100023.

It is a strong prime.

It is an emirp because it is prime and its reverse (13331100023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32000113331 - 26 = 32000113267 is a prime.

It is a super-3 number, since 3×320001133313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 32000113333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (32000113333) 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, 16000056665 + 16000056666.

It is an arithmetic number, because the mean of its divisors is an integer number (16000056666).

Almost surely, 232000113331 is an apocalyptic number.

32000113331 is a deficient number, since it is larger than the sum of its proper divisors (1).

32000113331 is an equidigital number, since it uses as much as digits as its factorization.

32000113331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 32000113331 its reverse (13331100023), we get a palindrome (45331213354).

The spelling of 32000113331 in words is "thirty-two billion, one hundred thirteen thousand, three hundred thirty-one".