Base | Representation |
---|---|
bin | 10010110111111100… |
… | …11101000100000100 |
3 | 222011012002102101200 |
4 | 21123332131010010 |
5 | 131223024030340 |
6 | 4353254022500 |
7 | 506051234622 |
oct | 113376350404 |
9 | 28135072350 |
10 | 10133033220 |
11 | 432a918922 |
12 | 1b69647a30 |
13 | c5642875b |
14 | 6c1ab2512 |
15 | 3e48da330 |
hex | 25bf9d104 |
10133033220 has 72 divisors (see below), whose sum is σ = 31053795864. Its totient is φ = 2674280448.
The previous prime is 10133033213. The next prime is 10133033227. The reversal of 10133033220 is 2233033101.
10133033220 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 332 + 2 + 0 = 666.
10133033220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10133033213) and next prime (10133033227).
It can be written as a sum of positive squares in 4 ways, for example, as 1258262784 + 8874770436 = 35472^2 + 94206^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10133033193 and 10133033202.
It is not an unprimeable number, because it can be changed into a prime (10133033227) 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 23 ways as a sum of consecutive naturals, for example, 272719 + ... + 307638.
Almost surely, 210133033220 is an apocalyptic number.
10133033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10133033220 is an abundant number, since it is smaller than the sum of its proper divisors (20920762644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10133033220 is a wasteful number, since it uses less digits than its factorization.
10133033220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 580469 (or 580464 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 10133033220 its reverse (2233033101), we get a palindrome (12366066321).
The spelling of 10133033220 in words is "ten billion, one hundred thirty-three million, thirty-three thousand, two hundred twenty".
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