Base | Representation |
---|---|
bin | 11000110001100000… |
… | …01111011101110100 |
3 | 1021022220200020021100 |
4 | 30120300033131310 |
5 | 204214322420312 |
6 | 10035433250100 |
7 | 650406563115 |
oct | 143060173564 |
9 | 37286606240 |
10 | 13300201332 |
11 | 5705687130 |
12 | 26b2263930 |
13 | 133c640322 |
14 | 90259220c |
15 | 52c9a05dc |
hex | 318c0f774 |
13300201332 has 36 divisors (see below), whose sum is σ = 36676313856. Its totient is φ = 4030363920.
The previous prime is 13300201303. The next prime is 13300201333. The reversal of 13300201332 is 23310200331.
13300201332 is a `hidden beast` number, since 1 + 330 + 0 + 2 + 0 + 1 + 332 = 666.
13300201332 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 (36).
It is a super-3 number, since 3×133002013323 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13300201333) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16792788 + ... + 16793579.
It is an arithmetic number, because the mean of its divisors is an integer number (1018786496).
Almost surely, 213300201332 is an apocalyptic number.
13300201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
13300201332 is an abundant number, since it is smaller than the sum of its proper divisors (23376112524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13300201332 is a wasteful number, since it uses less digits than its factorization.
13300201332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33586388 (or 33586383 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 13300201332 its reverse (23310200331), we get a palindrome (36610401663).
The spelling of 13300201332 in words is "thirteen billion, three hundred million, two hundred one thousand, three hundred thirty-two".
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