Base | Representation |
---|---|
bin | 111100111110110… |
… | …110111111101000 |
3 | 2122022011102122100 |
4 | 330332312333220 |
5 | 4043404024034 |
6 | 245304453400 |
7 | 34232205216 |
oct | 7476667750 |
9 | 2568142570 |
10 | 1023111144 |
11 | 485579600 |
12 | 24677a260 |
13 | 133c6c713 |
14 | 99c45cb6 |
15 | 5ec49099 |
hex | 3cfb6fe8 |
1023111144 has 72 divisors (see below), whose sum is σ = 3045754530. Its totient is φ = 310031040.
The previous prime is 1023111143. The next prime is 1023111151. The reversal of 1023111144 is 4411113201.
It can be written as a sum of positive squares in only one way, i.e., 612562500 + 410548644 = 24750^2 + 20262^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1023111143) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50007 + ... + 67430.
Almost surely, 21023111144 is an apocalyptic number.
It is an amenable number.
1023111144 is an abundant number, since it is smaller than the sum of its proper divisors (2022643386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023111144 is a wasteful number, since it uses less digits than its factorization.
1023111144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117471 (or 117453 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 1023111144 is about 31986.1086098325. The cubic root of 1023111144 is about 1007.6451178922.
Adding to 1023111144 its reverse (4411113201), we get a palindrome (5434224345).
The spelling of 1023111144 in words is "one billion, twenty-three million, one hundred eleven thousand, one hundred forty-four".
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