| Base | Representation |
|---|---|
| bin | 1011101101001100100… |
| … | …1111110001000110000 |
| 3 | 201020002210000111220100 |
| 4 | 2323103021332020300 |
| 5 | 11243333420231000 |
| 6 | 232220020512400 |
| 7 | 20346502106304 |
| oct | 2732311761060 |
| 9 | 636083014810 |
| 10 | 201111102000 |
| 11 | 78321a79616 |
| 12 | 32b8784b700 |
| 13 | 15c70589193 |
| 14 | 9a3b8add04 |
| 15 | 5370c9ea00 |
| hex | 2ed327e230 |
201111102000 has 240 divisors, whose sum is σ = 703062902880. Its totient is φ = 53580096000.
The previous prime is 201111101969. The next prime is 201111102001. The reversal of 201111102000 is 201111102.
It is a happy number.
201111102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (201111102001) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 22117455 + ... + 22126545.
It is an arithmetic number, because the mean of its divisors is an integer number (2929428762).
Almost surely, 2201111102000 is an apocalyptic number.
201111102000 is a gapful number since it is divisible by the number (20) 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 201111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351531451440).
201111102000 is an abundant number, since it is smaller than the sum of its proper divisors (501951800880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201111102000 is a wasteful number, since it uses less digits than its factorization.
201111102000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10349 (or 10330 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 201111102000 its reverse (201111102), we get a palindrome (201312213102).
201111102000 divided by its reverse (201111102) gives a cube (1000 = 103).
The spelling of 201111102000 in words is "two hundred one billion, one hundred eleven million, one hundred two thousand".
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