Base | Representation |
---|---|
bin | 1011010001000000… |
… | …0110110010101000 |
3 | 21210202102021010111 |
4 | 2310100012302220 |
5 | 22143133333000 |
6 | 1220025224104 |
7 | 134640414205 |
oct | 26420066250 |
9 | 7722367114 |
10 | 3024121000 |
11 | 131204595a |
12 | 704932034 |
13 | 3926ab614 |
14 | 2098c4cac |
15 | 12a75acba |
hex | b4406ca8 |
3024121000 has 144 divisors (see below), whose sum is σ = 7430901660. Its totient is φ = 1151913600.
The previous prime is 3024120989. The next prime is 3024121033. The reversal of 3024121000 is 1214203.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 1063933924 + 1960187076 = 32618^2 + 44274^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64342977 + ... + 64343023.
Almost surely, 23024121000 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 3024121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715450830).
3024121000 is an abundant number, since it is smaller than the sum of its proper divisors (4406780660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3024121000 is an equidigital number, since it uses as much as digits as its factorization.
3024121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 189 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 3024121000 is about 54992.0085103281. The cubic root of 3024121000 is about 1446.1046457620.
Adding to 3024121000 its reverse (1214203), we get a palindrome (3025335203).
The spelling of 3024121000 in words is "three billion, twenty-four million, one hundred twenty-one thousand".
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