Search a number
-
+
221011122022231 is a prime number
BaseRepresentation
bin110010010000001000101001…
…011010110110011101010111
31001222112110100002120020222111
4302100020221122312131113
5212432021234214202411
62102015035141411451
764360345430614312
oct6220105132663527
91058473302506874
10221011122022231
116446a3216a7192
1220955529709b87
13964234ab1a298
143c80dd147d979
151a84016cd0721
hexc902296b6757

221011122022231 has 2 divisors, whose sum is σ = 221011122022232. Its totient is φ = 221011122022230.

The previous prime is 221011122022057. The next prime is 221011122022247. The reversal of 221011122022231 is 132220221110122.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221011122022231 is a prime.

It is a super-2 number, since 2×2210111220222312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221011122022261) 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, 110505561011115 + 110505561011116.

It is an arithmetic number, because the mean of its divisors is an integer number (110505561011116).

Almost surely, 2221011122022231 is an apocalyptic number.

221011122022231 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011122022231 is an equidigital number, since it uses as much as digits as its factorization.

221011122022231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221011122022231 its reverse (132220221110122), we get a palindrome (353231343132353).

The spelling of 221011122022231 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, two hundred thirty-one".