Base | Representation |
---|---|
bin | 111000110110110111… |
… | …0100010100101010110 |
3 | 102200011100200201110100 |
4 | 1301231232202211112 |
5 | 4000030100013420 |
6 | 132031510434530 |
7 | 11551515612423 |
oct | 1615556424526 |
9 | 380140621410 |
10 | 122100001110 |
11 | 478672a402a |
12 | 1b7b7062a46 |
13 | b68b2a5889 |
14 | 5ca41d2d4a |
15 | 329951d190 |
hex | 1c6dba2956 |
122100001110 has 144 divisors (see below), whose sum is σ = 327154581936. Its totient is φ = 31594358016.
The previous prime is 122100001097. The next prime is 122100001117. The reversal of 122100001110 is 11100001221.
It is a happy number.
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 = 122100001092 and 122100001101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122100001117) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54580912 + ... + 54583148.
It is an arithmetic number, because the mean of its divisors is an integer number (2271906819).
Almost surely, 2122100001110 is an apocalyptic number.
122100001110 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 122100001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577290968).
122100001110 is an abundant number, since it is smaller than the sum of its proper divisors (205054580826).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122100001110 is a wasteful number, since it uses less digits than its factorization.
122100001110 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2767 (or 2727 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 122100001110 its reverse (11100001221), we get a palindrome (133200002331).
The spelling of 122100001110 in words is "one hundred twenty-two billion, one hundred million, one thousand, one hundred ten".
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