Base | Representation |
---|---|
bin | 111000110110110111… |
… | …0111101001010110000 |
3 | 102200011100220020211022 |
4 | 1301231232331022300 |
5 | 4000030112010000 |
6 | 132031513035012 |
7 | 11551516545041 |
oct | 1615556751260 |
9 | 380140806738 |
10 | 122100110000 |
11 | 47867368920 |
12 | 1b7b70b5a68 |
13 | b68b3132cb |
14 | 5ca42208c8 |
15 | 3299540585 |
hex | 1c6dbbd2b0 |
122100110000 has 200 divisors, whose sum is σ = 324670672128. Its totient is φ = 44100000000.
The previous prime is 122100109981. The next prime is 122100110063. The reversal of 122100110000 is 11001221.
It is a tau number, because it is divible by the number of its divisors (200).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 122100110000.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16606325 + ... + 16613675.
Almost surely, 2122100110000 is an apocalyptic number.
122100110000 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 122100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162335336064).
122100110000 is an abundant number, since it is smaller than the sum of its proper divisors (202570562128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122100110000 is a wasteful number, since it uses less digits than its factorization.
122100110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7541 (or 7520 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 122100110000 its reverse (11001221), we get a palindrome (122111111221).
It can be divided in two parts, 12 and 2100110000, that added together give a palindrome (2100110012).
The spelling of 122100110000 in words is "one hundred twenty-two billion, one hundred million, one hundred ten thousand".
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