| Base | Representation |
|---|---|
| bin | 10100101110111011… |
| … | …11001010101010100 |
| 3 | 1001201202012001110021 |
| 4 | 22113131321111110 |
| 5 | 140244032144340 |
| 6 | 5040310434524 |
| 7 | 542561024416 |
| oct | 122735712524 |
| 9 | 31652161407 |
| 10 | 11131131220 |
| 11 | 47a2262700 |
| 12 | 21a7962a44 |
| 13 | 108514aca1 |
| 14 | 7784869b6 |
| 15 | 452342e4a |
| hex | 297779554 |
11131131220 has 72 divisors (see below), whose sum is σ = 25948556424. Its totient is φ = 4007520000.
The previous prime is 11131131181. The next prime is 11131131223. The reversal of 11131131220 is 2213113111.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1369296016 + 9761835204 = 37004^2 + 98802^2 .
It is a junction number, because it is equal to n+sod(n) for n = 11131131194 and 11131131203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11131131223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221650 + ... + 267190.
It is an arithmetic number, because the mean of its divisors is an integer number (360396617).
Almost surely, 211131131220 is an apocalyptic number.
11131131220 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 11131131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974278212).
11131131220 is an abundant number, since it is smaller than the sum of its proper divisors (14817425204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11131131220 is a wasteful number, since it uses less digits than its factorization.
11131131220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45673 (or 45660 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 16.
Adding to 11131131220 its reverse (2213113111), we get a palindrome (13344244331).
The spelling of 11131131220 in words is "eleven billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty".
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