Search a number
-
+
11221322120 = 235280533053
BaseRepresentation
bin10100111001101011…
…11100100110001000
31001222000220020002222
422130311330212020
5140440124301440
65053251513212
7545034443561
oct123465744610
931860806088
1011221322120
114839164438
122211bb8808
13109aa38a98
14786443168
1545a20b2b5
hex29cd7c988

11221322120 has 16 divisors (see below), whose sum is σ = 25247974860. Its totient is φ = 4488528832.

The previous prime is 11221322113. The next prime is 11221322129. The reversal of 11221322120 is 2122312211.

11221322120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11197449124 + 23872996 = 105818^2 + 4886^2 .

It is not an unprimeable number, because it can be changed into a prime (11221322129) 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 in 3 ways as a sum of consecutive naturals, for example, 140266487 + ... + 140266566.

Almost surely, 211221322120 is an apocalyptic number.

11221322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221322120 is an abundant number, since it is smaller than the sum of its proper divisors (14026652740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221322120 is a wasteful number, since it uses less digits than its factorization.

11221322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280533064 (or 280533060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11221322120 its reverse (2122312211), we get a palindrome (13343634331).

Subtracting from 11221322120 its reverse (2122312211), we obtain a palindrome (9099009909).

The spelling of 11221322120 in words is "eleven billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 280533053 561066106 1122132212 1402665265 2244264424 2805330530 5610661060 11221322120