Base | Representation |
---|---|
bin | 1000101001001001… |
… | …1110111100000000 |
3 | 12222200200100102010 |
4 | 2022102132330000 |
5 | 14222421213440 |
6 | 1022115452520 |
7 | 111331351131 |
oct | 21222367400 |
9 | 5880610363 |
10 | 2320101120 |
11 | a90700347 |
12 | 548bb7140 |
13 | 2ac8925cc |
14 | 1801c1c88 |
15 | d8a42580 |
hex | 8a49ef00 |
2320101120 has 144 divisors (see below), whose sum is σ = 7582684032. Its totient is φ = 604262400.
The previous prime is 2320101083. The next prime is 2320101131. The reversal of 2320101120 is 211010232.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2320101096 and 2320101105.
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, 158095 + ... + 172145.
It is an arithmetic number, because the mean of its divisors is an integer number (52657528).
Almost surely, 22320101120 is an apocalyptic number.
2320101120 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 2320101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791342016).
2320101120 is an abundant number, since it is smaller than the sum of its proper divisors (5262582912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2320101120 is a wasteful number, since it uses less digits than its factorization.
2320101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14118 (or 14104 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 2320101120 is about 48167.4279985967. The cubic root of 2320101120 is about 1323.8404227739.
Adding to 2320101120 its reverse (211010232), we get a palindrome (2531111352).
The spelling of 2320101120 in words is "two billion, three hundred twenty million, one hundred one thousand, one hundred twenty".
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