Base | Representation |
---|---|
bin | 10100100011001000… |
… | …01111110110011100 |
3 | 1001110211220102110021 |
4 | 22101210033312130 |
5 | 140043211224040 |
6 | 5022412521524 |
7 | 540246404056 |
oct | 122144176634 |
9 | 31424812407 |
10 | 11032133020 |
11 | 4751395907 |
12 | 217a7802a4 |
13 | 106a79847c |
14 | 7692768d6 |
15 | 4487da24a |
hex | 29190fd9c |
11032133020 has 96 divisors (see below), whose sum is σ = 25278220800. Its totient is φ = 4028371200.
The previous prime is 11032132999. The next prime is 11032133041. The reversal of 11032133020 is 2033123011.
11032133020 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 (11032132999) and next prime (11032133041).
It is a junction number, because it is equal to n+sod(n) for n = 11032132985 and 11032133003.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 10699905 + ... + 10700935.
It is an arithmetic number, because the mean of its divisors is an integer number (263314800).
Almost surely, 211032133020 is an apocalyptic number.
11032133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11032133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639110400).
11032133020 is an abundant number, since it is smaller than the sum of its proper divisors (14246087780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11032133020 is a wasteful number, since it uses less digits than its factorization.
11032133020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2059 (or 2057 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 11032133020 its reverse (2033123011), we get a palindrome (13065256031).
It can be divided in two parts, 110321 and 33020, that added together give a palindrome (143341).
The spelling of 11032133020 in words is "eleven billion, thirty-two million, one hundred thirty-three thousand, twenty".
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