Base | Representation |
---|---|
bin | 11110101110111101… |
… | …000000101000100001 |
3 | 10011011211022200202110 |
4 | 132232331000220201 |
5 | 1020041000000113 |
6 | 23054320305533 |
7 | 2245525241430 |
oct | 365675005041 |
9 | 104154280673 |
10 | 33000000033 |
11 | 12aa4704500 |
12 | 648b7722a9 |
13 | 315ba79650 |
14 | 1850a51117 |
15 | cd21bcbc3 |
hex | 7aef40a21 |
33000000033 has 96 divisors (see below), whose sum is σ = 62658534400. Its totient is φ = 14991039360.
The previous prime is 33000000029. The next prime is 33000000107.
33000000033 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 33000000033 - 22 = 33000000029 is a prime.
It is a Curzon number.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 32999999955 and 33000000018.
It is not an unprimeable number, because it can be changed into a prime (33000000133) 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 95 ways as a sum of consecutive naturals, for example, 601338 + ... + 653916.
Almost surely, 233000000033 is an apocalyptic number.
33000000033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.
It is an amenable number.
33000000033 is a deficient number, since it is larger than the sum of its proper divisors (29658534367).
33000000033 is a wasteful number, since it uses less digits than its factorization.
33000000033 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52643 (or 52632 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 12.
It can be divided in two parts, 330000000 and 33, that added together give a palindrome (330000033).
The spelling of 33000000033 in words is "thirty-three billion, thirty-three", and thus it is an aban number and an uban number.
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