Base | Representation |
---|---|
bin | 100000110010010… |
… | …0101100110000100 |
3 | 2211200001101111200 |
4 | 1001210211212010 |
5 | 4223112011322 |
6 | 301055102500 |
7 | 36155532255 |
oct | 10144454604 |
9 | 2750041450 |
10 | 1100110212 |
11 | 514a900a3 |
12 | 268511a30 |
13 | 146bbbbb6 |
14 | a616ab2c |
15 | 668a88ac |
hex | 41925984 |
1100110212 has 36 divisors (see below), whose sum is σ = 2783096316. Its totient is φ = 366405120.
The previous prime is 1100110211. The next prime is 1100110243. The reversal of 1100110212 is 2120110011.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 773729856 + 326380356 = 27816^2 + 18066^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 = 1100110194 and 1100110203.
It is not an unprimeable number, because it can be changed into a prime (1100110211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34912 + ... + 58472.
It is an arithmetic number, because the mean of its divisors is an integer number (77308231).
Almost surely, 21100110212 is an apocalyptic number.
1100110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1100110212 is an abundant number, since it is smaller than the sum of its proper divisors (1682986104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100110212 is a wasteful number, since it uses less digits than its factorization.
1100110212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24868 (or 24863 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 1100110212 is about 33167.9093703537. The cubic root of 1100110212 is about 1032.3145899584.
Adding to 1100110212 its reverse (2120110011), we get a palindrome (3220220223).
The spelling of 1100110212 in words is "one billion, one hundred million, one hundred ten thousand, two hundred twelve".
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