Base | Representation |
---|---|
bin | 100010000010110… |
… | …1001011010000100 |
3 | 2221121111102120000 |
4 | 1010011221122010 |
5 | 4314414043022 |
6 | 305204041300 |
7 | 40210440054 |
oct | 10405513204 |
9 | 2847442500 |
10 | 1142331012 |
11 | 5368a8219 |
12 | 27a693230 |
13 | 152882514 |
14 | ab9db564 |
15 | 6a4486ac |
hex | 44169684 |
1142331012 has 120 divisors (see below), whose sum is σ = 3090242232. Its totient is φ = 367718400.
The previous prime is 1142331011. The next prime is 1142331019. The reversal of 1142331012 is 2101332411.
It can be written as a sum of positive squares in 4 ways, for example, as 345736836 + 796594176 = 18594^2 + 28224^2 .
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 (1142331011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1500712 + ... + 1501472.
Almost surely, 21142331012 is an apocalyptic number.
1142331012 is a gapful number since it is divisible by the number (12) 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 1142331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545121116).
1142331012 is an abundant number, since it is smaller than the sum of its proper divisors (1947911220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142331012 is a wasteful number, since it uses less digits than its factorization.
1142331012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1142331012 is about 33798.3877130256. The cubic root of 1142331012 is about 1045.3554530521.
Adding to 1142331012 its reverse (2101332411), we get a palindrome (3243663423).
The spelling of 1142331012 in words is "one billion, one hundred forty-two million, three hundred thirty-one thousand, twelve".
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