Base | Representation |
---|---|
bin | 1011101101100010010… |
… | …1100110011110100000 |
3 | 201020100010111100122220 |
4 | 2323120211212132200 |
5 | 11244030232344300 |
6 | 232233034031040 |
7 | 20351656514145 |
oct | 2733045463640 |
9 | 636303440586 |
10 | 201202231200 |
11 | 78369461303 |
12 | 32bb2278480 |
13 | 15c86415099 |
14 | 9a49a323cc |
15 | 5378ca0da0 |
hex | 2ed89667a0 |
201202231200 has 144 divisors (see below), whose sum is σ = 656549603136. Its totient is φ = 53519872000.
The previous prime is 201202231187. The next prime is 201202231201. The reversal of 201202231200 is 2132202102.
It is a happy number.
201202231200 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 (15).
It is a self number, because there is not a number n which added to its sum of digits gives 201202231200.
It is not an unprimeable number, because it can be changed into a prime (201202231201) 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 23 ways as a sum of consecutive naturals, for example, 857869 + ... + 1066931.
It is an arithmetic number, because the mean of its divisors is an integer number (4559372244).
Almost surely, 2201202231200 is an apocalyptic number.
201202231200 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 201202231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328274801568).
201202231200 is an abundant number, since it is smaller than the sum of its proper divisors (455347371936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201202231200 is a wasteful number, since it uses less digits than its factorization.
201202231200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 209487 (or 209474 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 201202231200 its reverse (2132202102), we get a palindrome (203334433302).
The spelling of 201202231200 in words is "two hundred one billion, two hundred two million, two hundred thirty-one thousand, two hundred".
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