Base | Representation |
---|---|
bin | 1011101101001101001… |
… | …0111000111100100000 |
3 | 201020002221102022002010 |
4 | 2323103102320330200 |
5 | 11243340020040112 |
6 | 232220142552520 |
7 | 20346531014601 |
oct | 2732322707440 |
9 | 636087368063 |
10 | 201113440032 |
11 | 7832332617a |
12 | 32b88598740 |
13 | 15c70bc742b |
14 | 9a3bd1bda8 |
15 | 53710b263c |
hex | 2ed34b8f20 |
201113440032 has 96 divisors (see below), whose sum is σ = 549398505600. Its totient is φ = 64338434048.
The previous prime is 201113439893. The next prime is 201113440037. The reversal of 201113440032 is 230044311102.
201113440032 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 (96).
It is a super-2 number, since 2×2011134400322 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 201113439990 and 201113440008.
It is not an unprimeable number, because it can be changed into a prime (201113440037) 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 15 ways as a sum of consecutive naturals, for example, 248644 + ... + 681212.
It is an arithmetic number, because the mean of its divisors is an integer number (5722901100).
Almost surely, 2201113440032 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 201113440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274699252800).
201113440032 is an abundant number, since it is smaller than the sum of its proper divisors (348285065568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201113440032 is a wasteful number, since it uses less digits than its factorization.
201113440032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 432778 (or 432770 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
Adding to 201113440032 its reverse (230044311102), we get a palindrome (431157751134).
The spelling of 201113440032 in words is "two hundred one billion, one hundred thirteen million, four hundred forty thousand, thirty-two".
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