Base | Representation |
---|---|
bin | 1101000010100110… |
… | …01010010011010000 |
3 | 200001220211211212211 |
4 | 12201103022103100 |
5 | 103314241401000 |
6 | 3114414201504 |
7 | 335331361255 |
oct | 64123122320 |
9 | 20056754784 |
10 | 7001122000 |
11 | 2a72a50644 |
12 | 14347b3294 |
13 | 877609852 |
14 | 4a5b6d42c |
15 | 2ae98b7ba |
hex | 1a14ca4d0 |
7001122000 has 80 divisors (see below), whose sum is σ = 17512606800. Its totient is φ = 2703859200.
The previous prime is 7001121997. The next prime is 7001122031. The reversal of 7001122000 is 2211007.
It can be written as a sum of positive squares in 8 ways, for example, as 2988152896 + 4012969104 = 54664^2 + 63348^2 .
It is a tau number, because it is divible by the number of its divisors (80).
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 15 ways as a sum of consecutive naturals, for example, 2355 + ... + 118354.
It is an arithmetic number, because the mean of its divisors is an integer number (218907585).
Almost surely, 27001122000 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 7001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756303400).
7001122000 is an abundant number, since it is smaller than the sum of its proper divisors (10511484800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7001122000 is a wasteful number, since it uses less digits than its factorization.
7001122000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120761 (or 120745 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 13.
The square root of 7001122000 is about 83672.7076172392. The cubic root of 7001122000 is about 1913.0333824925.
Adding to 7001122000 its reverse (2211007), we get a palindrome (7003333007).
The spelling of 7001122000 in words is "seven billion, one million, one hundred twenty-two thousand".
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