Search a number
-
+
11221221211011 = 337113115249009
BaseRepresentation
bin1010001101001010010011…
…1001110111101110000011
31110201201221012101120122000
42203102210321313232003
52432322030112223021
635510542521515043
72235464215354230
oct243224471675603
943651835346560
1011221221211011
113636990923029
1213128b8342a83
1363520612aa06
142ab177bd0787
15146d52bc4b26
hexa34a4e77b83

11221221211011 has 32 divisors (see below), whose sum is σ = 19000576358400. Its totient is φ = 6411558291840.

The previous prime is 11221221210943. The next prime is 11221221211033. The reversal of 11221221211011 is 11011212212211.

It is a happy number.

11221221211011 is a `hidden beast` number, since 1 + 1 + 221 + 221 + 211 + 0 + 11 = 666.

It is not a de Polignac number, because 11221221211011 - 27 = 11221221210883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221221211111) 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 in 31 ways as a sum of consecutive naturals, for example, 486726 + ... + 4762283.

It is an arithmetic number, because the mean of its divisors is an integer number (593768011200).

Almost surely, 211221221211011 is an apocalyptic number.

11221221211011 is a deficient number, since it is larger than the sum of its proper divisors (7779355147389).

11221221211011 is a wasteful number, since it uses less digits than its factorization.

11221221211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260336 (or 5260330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11221221211011 its reverse (11011212212211), we get a palindrome (22232433423222).

The spelling of 11221221211011 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, eleven".

Divisors: 1 3 7 9 21 27 63 189 11311 33933 79177 101799 237531 305397 712593 2137779 5249009 15747027 36743063 47241081 110229189 141723243 330687567 992062701 59371540799 178114622397 415600785593 534343867191 1246802356779 1603031601573 3740407070337 11221221211011