| Base | Representation |
|---|---|
| bin | 10100101110111101… |
| … | …01000001011110000 |
| 3 | 1001201202112210200200 |
| 4 | 22113132220023300 |
| 5 | 140244104314440 |
| 6 | 5040314515200 |
| 7 | 542562454041 |
| oct | 122736501360 |
| 9 | 31652483620 |
| 10 | 11131323120 |
| 11 | 47a23838a5 |
| 12 | 21a7a35b00 |
| 13 | 10851b7438 |
| 14 | 7784d68c8 |
| 15 | 45237ec30 |
| hex | 2977a82f0 |
11131323120 has 120 divisors (see below), whose sum is σ = 37753065792. Its totient is φ = 2938944000.
The previous prime is 11131323061. The next prime is 11131323131. The reversal of 11131323120 is 2132313111.
11131323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 11131323093 and 11131323102.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 3816 + ... + 149255.
Almost surely, 211131323120 is an apocalyptic number.
11131323120 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 11131323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876532896).
11131323120 is an abundant number, since it is smaller than the sum of its proper divisors (26621742672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11131323120 is a wasteful number, since it uses less digits than its factorization.
11131323120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153191 (or 153182 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 11131323120 its reverse (2132313111), we get a palindrome (13263636231).
It can be divided in two parts, 11 and 131323120, that added together give a palindrome (131323131).
The spelling of 11131323120 in words is "eleven billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty".
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