Base | Representation |
---|---|
bin | 1101000111001… |
… | …11101111001100 |
3 | 21122222122010211 |
4 | 12203213233030 |
5 | 211130013400 |
6 | 14525412204 |
7 | 2503664626 |
oct | 643475714 |
9 | 248878124 |
10 | 110001100 |
11 | 57102500 |
12 | 30a0a064 |
13 | 19a35a11 |
14 | 10875c16 |
15 | 99ccdba |
hex | 68e7bcc |
110001100 has 54 divisors (see below), whose sum is σ = 262404212. Its totient is φ = 39996000.
The previous prime is 110001097. The next prime is 110001107. The reversal of 110001100 is 1100011.
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a zygodrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 110001100.
It is not an unprimeable number, because it can be changed into a prime (110001107) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7555 + ... + 16645.
Almost surely, 2110001100 is an apocalyptic number.
110001100 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 110001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131202106).
110001100 is an abundant number, since it is smaller than the sum of its proper divisors (152403112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110001100 is a wasteful number, since it uses less digits than its factorization.
110001100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9127 (or 9109 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
The square root of 110001100 is about 10488.1409220128. The cubic root of 110001100 is about 479.1435828409.
Adding to 110001100 its reverse (1100011), we get a palindrome (111101111).
Multiplying 110001100 by its reverse (1100011), we get a square (121002420012100 = 110001102).
110001100 divided by its reverse (1100011) gives a square (100 = 102).
It can be divided in two parts, 11000 and 1100, that added together give a square (12100 = 1102).
The spelling of 110001100 in words is "one hundred ten million, one thousand, one hundred".
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