Base | Representation |
---|---|
bin | 10010101100000001… |
… | …11010001001001010 |
3 | 221220012212212220000 |
4 | 21112000322021022 |
5 | 131021422411242 |
6 | 4335322143430 |
7 | 503425130463 |
oct | 112600721112 |
9 | 27805785800 |
10 | 10033013322 |
11 | 4289413452 |
12 | 1b40051b76 |
13 | c3b7a8b97 |
14 | 6b26b7d6a |
15 | 3dac2ea4c |
hex | 25603a24a |
10033013322 has 40 divisors (see below), whose sum is σ = 23029723332. Its totient is φ = 3262766400.
The previous prime is 10033013317. The next prime is 10033013339. The reversal of 10033013322 is 22331033001.
10033013322 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 1 + 332 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 9927930321 + 105083001 = 99639^2 + 10251^2 .
It is a super-2 number, since 2×100330133222 (a number of 21 digits) contains 22 as substring.
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 = 10033013295 and 10033013304.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 748629 + ... + 761912.
Almost surely, 210033013322 is an apocalyptic number.
10033013322 is an abundant number, since it is smaller than the sum of its proper divisors (12996710010).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10033013322 is a wasteful number, since it uses less digits than its factorization.
10033013322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1510596 (or 1510587 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 10033013322 its reverse (22331033001), we get a palindrome (32364046323).
The spelling of 10033013322 in words is "ten billion, thirty-three million, thirteen thousand, three hundred twenty-two".
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