Base | Representation |
---|---|
bin | 100000111101101… |
… | …1110011000110000 |
3 | 2212002100012200001 |
4 | 1001323132120300 |
5 | 4231131010000 |
6 | 301431435344 |
7 | 36260531332 |
oct | 10173363060 |
9 | 2762305601 |
10 | 1106110000 |
11 | 5184088a6 |
12 | 26a525b54 |
13 | 14820ca78 |
14 | a6c8d452 |
15 | 6719146a |
hex | 41ede630 |
1106110000 has 100 divisors (see below), whose sum is σ = 2729838672. Its totient is φ = 433888000.
The previous prime is 1106109973. The next prime is 1106110001. The reversal of 1106110000 is 116011.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1106110001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 528957 + ... + 531043.
Almost surely, 21106110000 is an apocalyptic number.
1106110000 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 1106110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364919336).
1106110000 is an abundant number, since it is smaller than the sum of its proper divisors (1623728672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1106110000 is an equidigital number, since it uses as much as digits as its factorization.
1106110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2168 (or 2147 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 10.
The square root of 1106110000 is about 33258.2320636561. The cubic root of 1106110000 is about 1034.1878698425.
Adding to 1106110000 its reverse (116011), we get a palindrome (1106226011).
The spelling of 1106110000 in words is "one billion, one hundred six million, one hundred ten thousand".
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