Base | Representation |
---|---|
bin | 1010000000010010100110… |
… | …1101110001011111011110 |
3 | 1102221121012122201122201200 |
4 | 2200010221231301133132 |
5 | 2420211211421010420 |
6 | 35221214205020330 |
7 | 2213506002460443 |
oct | 240045155613736 |
9 | 42847178648650 |
10 | 11000111110110 |
11 | 3561136a49651 |
12 | 1297a8ab546a6 |
13 | 61a3c9457795 |
14 | 2a05a02199ca |
15 | 141211305b90 |
hex | a0129b717de |
11000111110110 has 144 divisors (see below), whose sum is σ = 29006173383408. Its totient is φ = 2892063363840.
The previous prime is 11000111110103. The next prime is 11000111110133. The reversal of 11000111110110 is 1101111100011.
11000111110110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 11000111110092 and 11000111110101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428724402 + ... + 428750058.
It is an arithmetic number, because the mean of its divisors is an integer number (201431759607).
Almost surely, 211000111110110 is an apocalyptic number.
11000111110110 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 11000111110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503086691704).
11000111110110 is an abundant number, since it is smaller than the sum of its proper divisors (18006062273298).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000111110110 is a wasteful number, since it uses less digits than its factorization.
11000111110110 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26199 (or 25985 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
Adding to 11000111110110 its reverse (1101111100011), we get a palindrome (12101222210121).
The spelling of 11000111110110 in words is "eleven trillion, one hundred eleven million, one hundred ten thousand, one hundred ten".
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