Base | Representation |
---|---|
bin | 1011101101100001110… |
… | …1011110011100000000 |
3 | 201020022222111010202001 |
4 | 2323120131132130000 |
5 | 11244024211213440 |
6 | 232232520233344 |
7 | 20351632433044 |
oct | 2733035363400 |
9 | 636288433661 |
10 | 201200101120 |
11 | 78368236a07 |
12 | 32bb160b854 |
13 | 15c85b4a695 |
14 | 9a4963a024 |
15 | 53789ceb9a |
hex | 2ed875e700 |
201200101120 has 72 divisors (see below), whose sum is σ = 486616437216. Its totient is φ = 79698628608.
The previous prime is 201200101021. The next prime is 201200101153. The reversal of 201200101120 is 21101002102.
201200101120 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 (10).
It is a junction number, because it is equal to n+sod(n) for n = 201200101097 and 201200101106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631207 + ... + 894886.
It is an arithmetic number, because the mean of its divisors is an integer number (6758561628).
Almost surely, 2201200101120 is an apocalyptic number.
201200101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
201200101120 is an abundant number, since it is smaller than the sum of its proper divisors (285416336096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201200101120 is a wasteful number, since it uses less digits than its factorization.
201200101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1526217 (or 1526203 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 201200101120 its reverse (21101002102), we get a palindrome (222301103222).
The spelling of 201200101120 in words is "two hundred one billion, two hundred million, one hundred one thousand, one hundred twenty".
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