Base | Representation |
---|---|
bin | 1011110101011010101… |
… | …1101000111010000000 |
3 | 201102210120012111121101 |
4 | 2331112223220322000 |
5 | 11312343320240412 |
6 | 233223004504144 |
7 | 20455255205542 |
oct | 2752653507200 |
9 | 642716174541 |
10 | 203317743232 |
11 | 7925462485a |
12 | 334a284b054 |
13 | 162327a4656 |
14 | 9baa999692 |
15 | 544e87e457 |
hex | 2f56ae8e80 |
203317743232 has 64 divisors (see below), whose sum is σ = 409799441160. Its totient is φ = 100471275520.
The previous prime is 203317743229. The next prime is 203317743241. The reversal of 203317743232 is 232347713302.
203317743232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 122147454016 + 81170289216 = 349496^2 + 284904^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 203317743191 and 203317743200.
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, 5085882 + ... + 5125702.
Almost surely, 2203317743232 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 203317743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204899720580).
203317743232 is an abundant number, since it is smaller than the sum of its proper divisors (206481697928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203317743232 is a wasteful number, since it uses less digits than its factorization.
203317743232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40301 (or 40289 counting only the distinct ones).
The product of its (nonzero) digits is 127008, while the sum is 37.
The spelling of 203317743232 in words is "two hundred three billion, three hundred seventeen million, seven hundred forty-three thousand, two hundred thirty-two".
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