Base | Representation |
---|---|
bin | 10000000000100011101… |
… | …110110101111111011110 |
3 | 10220011120122010202011000 |
4 | 100000203232311333132 |
5 | 121011011421010420 |
6 | 2201214543011130 |
7 | 142323531101505 |
oct | 20004356657736 |
9 | 3804518122130 |
10 | 1100111110110 |
11 | 394611050731 |
12 | 159260b99aa6 |
13 | 7c980b0b9bc |
14 | 3b36214b83c |
15 | 1d93a5ec690 |
hex | 10023bb5fde |
1100111110110 has 128 divisors (see below), whose sum is σ = 3004148736000. Its totient is φ = 286394524416.
The previous prime is 1100111110099. The next prime is 1100111110123. The reversal of 1100111110110 is 110111110011.
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 = 1100111110092 and 1100111110101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608619 + ... + 2188121.
It is an arithmetic number, because the mean of its divisors is an integer number (23469912000).
Almost surely, 21100111110110 is an apocalyptic number.
1100111110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1100111110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502074368000).
1100111110110 is an abundant number, since it is smaller than the sum of its proper divisors (1904037625890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100111110110 is a wasteful number, since it uses less digits than its factorization.
1100111110110 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 579687 (or 579681 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
Adding to 1100111110110 its reverse (110111110011), we get a palindrome (1210222220121).
Subtracting from 1100111110110 its reverse (110111110011), we obtain a palindrome (990000000099).
The spelling of 1100111110110 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, one hundred ten".
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