Search a number
-
+
22312233011 is a prime number
BaseRepresentation
bin10100110001111010…
…011010100000110011
32010120222101212122102
4110301322122200303
5331143412424021
614130004331015
71416626565005
oct246172324063
963528355572
1022312233011
11950a7459a2
1243a83a3a6b
132147743b53
14111941a375
158a8c5700b
hex531e9a833

22312233011 has 2 divisors, whose sum is σ = 22312233012. Its totient is φ = 22312233010.

The previous prime is 22312232993. The next prime is 22312233023. The reversal of 22312233011 is 11033221322.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22312233011 is a prime.

It is a super-3 number, since 3×223122330113 (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.

It is not a weakly prime, because it can be changed into another prime (22312233071) 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, 11156116505 + 11156116506.

It is an arithmetic number, because the mean of its divisors is an integer number (11156116506).

Almost surely, 222312233011 is an apocalyptic number.

22312233011 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312233011 is an equidigital number, since it uses as much as digits as its factorization.

22312233011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22312233011 its reverse (11033221322), we get a palindrome (33345454333).

The spelling of 22312233011 in words is "twenty-two billion, three hundred twelve million, two hundred thirty-three thousand, eleven".