Base | Representation |
---|---|
bin | 110011101111111111… |
… | …1110100010111011100 |
3 | 101121211222220021111110 |
4 | 1213133333310113130 |
5 | 3310044322344012 |
6 | 123015313222020 |
7 | 11012650243566 |
oct | 1473777642734 |
9 | 347758807443 |
10 | 111132231132 |
11 | 4314927a11a |
12 | 19655b61910 |
13 | a630c54260 |
14 | 5543712336 |
15 | 2d566e873c |
hex | 19dfff45dc |
111132231132 has 96 divisors (see below), whose sum is σ = 289215166464. Its totient is φ = 32995468800.
The previous prime is 111132231131. The next prime is 111132231149. The reversal of 111132231132 is 231132231111.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 111132231099 and 111132231108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (111132231131) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413832 + ... + 627312.
It is an arithmetic number, because the mean of its divisors is an integer number (3012657984).
Almost surely, 2111132231132 is an apocalyptic number.
111132231132 is a gapful number since it is divisible by the number (12) 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 111132231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144607583232).
111132231132 is an abundant number, since it is smaller than the sum of its proper divisors (178082935332).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111132231132 is a wasteful number, since it uses less digits than its factorization.
111132231132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 213619 (or 213617 counting only the distinct ones).
The product of its digits is 216, while the sum is 21.
Subtracting from 111132231132 its sum of digits (21), we obtain a palindrome (111132231111).
Adding to 111132231132 its reverse (231132231111), we get a palindrome (342264462243).
The spelling of 111132231132 in words is "one hundred eleven billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred thirty-two".
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