| Base | Representation |
|---|---|
| bin | 10100111001101001… |
| … | …10001001010000000 |
| 3 | 1001222000022112020112 |
| 4 | 22130310301022000 |
| 5 | 140440034404440 |
| 6 | 5053241130452 |
| 7 | 545032015652 |
| oct | 123464611200 |
| 9 | 31860275215 |
| 10 | 11221013120 |
| 11 | 4838a73269 |
| 12 | 2211a89a28 |
| 13 | 109a95b245 |
| 14 | 7863a26d2 |
| 15 | 45a199965 |
| hex | 29cd31280 |
11221013120 has 96 divisors (see below), whose sum is σ = 27411580980. Its totient is φ = 4392353792.
The previous prime is 11221013093. The next prime is 11221013129. The reversal of 11221013120 is 2131012211.
It can be written as a sum of positive squares in 2 ways, for example, as 10382794816 + 838218304 = 101896^2 + 28952^2 .
It is a super-2 number, since 2×112210131202 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 11221013095 and 11221013104.
It is not an unprimeable number, because it can be changed into a prime (11221013129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409792 + ... + 1417728.
Almost surely, 211221013120 is an apocalyptic number.
11221013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11221013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705790490).
11221013120 is an abundant number, since it is smaller than the sum of its proper divisors (16190567860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11221013120 is an frugal number, since it uses more digits than its factorization.
11221013120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8050 (or 7991 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 14.
Adding to 11221013120 its reverse (2131012211), we get a palindrome (13352025331).
Subtracting from 11221013120 its reverse (2131012211), we obtain a palindrome (9090000909).
The spelling of 11221013120 in words is "eleven billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".
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