Base | Representation |
---|---|
bin | 111100111011000… |
… | …011010100000000 |
3 | 2122020021201110221 |
4 | 330323003110000 |
5 | 4043130104044 |
6 | 245231232424 |
7 | 34220550232 |
oct | 7473032400 |
9 | 2566251427 |
10 | 1022113024 |
11 | 484a57709 |
12 | 246378714 |
13 | 1339b030a |
14 | 99a66252 |
15 | 5eaed484 |
hex | 3cec3500 |
1022113024 has 72 divisors (see below), whose sum is σ = 2086658280. Its totient is φ = 499580928.
The previous prime is 1022113013. The next prime is 1022113039. The reversal of 1022113024 is 4203112201.
It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 1021953024 = 400^2 + 31968^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1022112989 and 1022113007.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574394 + ... + 2574790.
It is an arithmetic number, because the mean of its divisors is an integer number (28981365).
Almost surely, 21022113024 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 1022113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043329140).
1022113024 is an abundant number, since it is smaller than the sum of its proper divisors (1064545256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022113024 is an equidigital number, since it uses as much as digits as its factorization.
1022113024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 615 (or 601 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 1022113024 is about 31970.5024045604. The cubic root of 1022113024 is about 1007.3173340245.
Adding to 1022113024 its reverse (4203112201), we get a palindrome (5225225225).
The spelling of 1022113024 in words is "one billion, twenty-two million, one hundred thirteen thousand, twenty-four".
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