Base | Representation |
---|---|
bin | 1011101000101000… |
… | …0100010001100000 |
3 | 22001122212001111120 |
4 | 2322022010101200 |
5 | 22344014413440 |
6 | 1233525012240 |
7 | 140252525424 |
oct | 27212042140 |
9 | 8048761446 |
10 | 3123201120 |
11 | 1362a69256 |
12 | 731b54080 |
13 | 3aa08c500 |
14 | 218b16b84 |
15 | 1342ccdd0 |
hex | ba284460 |
3123201120 has 144 divisors (see below), whose sum is σ = 10653349392. Its totient is φ = 768768000.
The previous prime is 3123201091. The next prime is 3123201127. The reversal of 3123201120 is 211023213.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 3123201120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3123201127) 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 23 ways as a sum of consecutive naturals, for example, 61870 + ... + 100370.
It is an arithmetic number, because the mean of its divisors is an integer number (73981593).
Almost surely, 23123201120 is an apocalyptic number.
3123201120 is a gapful number since it is divisible by the number (30) 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 3123201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326674696).
3123201120 is an abundant number, since it is smaller than the sum of its proper divisors (7530148272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3123201120 is a wasteful number, since it uses less digits than its factorization.
3123201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38545 (or 38524 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 3123201120 is about 55885.6074495035. The cubic root of 3123201120 is about 1461.7282842192.
Adding to 3123201120 its reverse (211023213), we get a palindrome (3334224333).
The spelling of 3123201120 in words is "three billion, one hundred twenty-three million, two hundred one thousand, one hundred twenty".
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