Base | Representation |
---|---|
bin | 1101001111110… |
… | …00111010001100 |
3 | 21202002111000000 |
4 | 12213320322030 |
5 | 211421320022 |
6 | 15005404300 |
7 | 2516335023 |
oct | 647707214 |
9 | 252074000 |
10 | 111120012 |
11 | 577a7123 |
12 | 31269690 |
13 | 1a0380b3 |
14 | 10a878ba |
15 | 9b4e6ac |
hex | 69f8e8c |
111120012 has 84 divisors (see below), whose sum is σ = 297470880. Its totient is φ = 36290592.
The previous prime is 111119977. The next prime is 111120013. The reversal of 111120012 is 210021111.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 111119976 and 111120003.
It is not an unprimeable number, because it can be changed into a prime (111120013) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 154189 + ... + 154907.
It is an arithmetic number, because the mean of its divisors is an integer number (3541320).
Almost surely, 2111120012 is an apocalyptic number.
111120012 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 111120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148735440).
111120012 is an abundant number, since it is smaller than the sum of its proper divisors (186350868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111120012 is an equidigital number, since it uses as much as digits as its factorization.
111120012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 794 (or 777 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 111120012 is about 10541.3477316707. The cubic root of 111120012 is about 480.7626937295.
Adding to 111120012 its reverse (210021111), we get a palindrome (321141123).
The spelling of 111120012 in words is "one hundred eleven million, one hundred twenty thousand, twelve".
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