Base | Representation |
---|---|
bin | 1000100111010111… |
… | …0111111000100000 |
3 | 12222011120022100100 |
4 | 2021311313320200 |
5 | 14214011213440 |
6 | 1021251022400 |
7 | 111210533214 |
oct | 21165677040 |
9 | 5864508310 |
10 | 2312601120 |
11 | a874484a5 |
12 | 54659aa00 |
13 | 2ab16793b |
14 | 17d1cc944 |
15 | d8060230 |
hex | 89d77e20 |
2312601120 has 216 divisors, whose sum is σ = 8384787684. Its totient is φ = 580313088.
The previous prime is 2312601107. The next prime is 2312601127. The reversal of 2312601120 is 211062132.
2312601120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 2124472464 + 188128656 = 46092^2 + 13716^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2312601093 and 2312601102.
It is not an unprimeable number, because it can be changed into a prime (2312601127) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413382 + ... + 418938.
Almost surely, 22312601120 is an apocalyptic number.
2312601120 is a gapful number since it is divisible by the number (20) 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 2312601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192393842).
2312601120 is an abundant number, since it is smaller than the sum of its proper divisors (6072186564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2312601120 is a wasteful number, since it uses less digits than its factorization.
2312601120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5612 (or 5584 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 2312601120 is about 48089.5115383802. The cubic root of 2312601120 is about 1322.4123929041.
Adding to 2312601120 its reverse (211062132), we get a palindrome (2523663252).
The spelling of 2312601120 in words is "two billion, three hundred twelve million, six hundred one thousand, one hundred twenty".
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