Base | Representation |
---|---|
bin | 1011101101010010101… |
… | …0000111100010000000 |
3 | 201020011112110000201002 |
4 | 2323110222013202000 |
5 | 11243411343300204 |
6 | 232222321031132 |
7 | 20350226252243 |
oct | 2732452074200 |
9 | 636145400632 |
10 | 201136306304 |
11 | 78335223a1a |
12 | 32b941854a8 |
13 | 15c7587237b |
14 | 9a40d9125a |
15 | 53730cc91e |
hex | 2ed4a87880 |
201136306304 has 64 divisors (see below), whose sum is σ = 403668927000. Its totient is φ = 99824271360.
The previous prime is 201136306297. The next prime is 201136306307. The reversal of 201136306304 is 403603631102.
It can be written as a sum of positive squares in 4 ways, for example, as 36462666304 + 164673640000 = 190952^2 + 405800^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (201136306307) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38084144 + ... + 38089424.
Almost surely, 2201136306304 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 201136306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201834463500).
201136306304 is an abundant number, since it is smaller than the sum of its proper divisors (202532620696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201136306304 is a wasteful number, since it uses less digits than its factorization.
201136306304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7441 (or 7429 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 29.
Adding to 201136306304 its reverse (403603631102), we get a palindrome (604739937406).
The spelling of 201136306304 in words is "two hundred one billion, one hundred thirty-six million, three hundred six thousand, three hundred four".
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