Base | Representation |
---|---|
bin | 100000111000001… |
… | …0100000100000000 |
3 | 2211212211120010102 |
4 | 1001300110010000 |
5 | 4224403343003 |
6 | 301245021532 |
7 | 36223624154 |
oct | 10160240400 |
9 | 2755746112 |
10 | 1103184128 |
11 | 51679a622 |
12 | 2695548a8 |
13 | 147727097 |
14 | a672b064 |
15 | 66cb4588 |
hex | 41c14100 |
1103184128 has 72 divisors (see below), whose sum is σ = 2412267480. Its totient is φ = 501186560.
The previous prime is 1103184113. The next prime is 1103184133. The reversal of 1103184128 is 8214813011.
It can be written as a sum of positive squares in 4 ways, for example, as 152571904 + 950612224 = 12352^2 + 30832^2 .
It is a super-2 number, since 2×11031841282 = 2434030440542240768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (29).
It is a self number, because there is not a number n which added to its sum of digits gives 1103184128.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121838 + ... + 130578.
It is an arithmetic number, because the mean of its divisors is an integer number (33503715).
Almost surely, 21103184128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1103184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206133740).
1103184128 is an abundant number, since it is smaller than the sum of its proper divisors (1309083352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1103184128 is an equidigital number, since it uses as much as digits as its factorization.
1103184128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8803 (or 8789 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 29.
The square root of 1103184128 is about 33214.2157516928. The cubic root of 1103184128 is about 1033.2751898837.
Adding to 1103184128 its reverse (8214813011), we get a palindrome (9317997139).
It can be divided in two parts, 11031 and 84128, that added together give a palindrome (95159).
The spelling of 1103184128 in words is "one billion, one hundred three million, one hundred eighty-four thousand, one hundred twenty-eight".
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