Base | Representation |
---|---|
bin | 1011101000100101… |
… | …0110011000000000 |
3 | 22001122111111121121 |
4 | 2322021112120000 |
5 | 22343442404440 |
6 | 1233521002024 |
7 | 140251113343 |
oct | 27211263000 |
9 | 8048444547 |
10 | 3123013120 |
11 | 136294aa87 |
12 | 731a83314 |
13 | 3aa024a76 |
14 | 218aa845a |
15 | 13429234a |
hex | ba256600 |
3123013120 has 80 divisors (see below), whose sum is σ = 7690521168. Its totient is φ = 1215406080.
The previous prime is 3123013111. The next prime is 3123013121. The reversal of 3123013120 is 213103213.
It is a tau number, because it is divible by the number of its divisors (80).
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 = 3123013094 and 3123013103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3123013121) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78235 + ... + 111205.
Almost surely, 23123013120 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 3123013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845260584).
3123013120 is an abundant number, since it is smaller than the sum of its proper divisors (4567508048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3123013120 is an equidigital number, since it uses as much as digits as its factorization.
3123013120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33031 (or 33015 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
The square root of 3123013120 is about 55883.9254168853. The cubic root of 3123013120 is about 1461.6989542230.
Adding to 3123013120 its reverse (213103213), we get a palindrome (3336116333).
The spelling of 3123013120 in words is "three billion, one hundred twenty-three million, thirteen thousand, one hundred twenty".
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