Base | Representation |
---|---|
bin | 1000100110110000… |
… | …0010011111010000 |
3 | 12221222201022222212 |
4 | 2021230002133100 |
5 | 14212331214440 |
6 | 1021115451252 |
7 | 111146605166 |
oct | 21154023720 |
9 | 5858638885 |
10 | 2310023120 |
11 | a85a47619 |
12 | 545756b28 |
13 | 2aa7743b2 |
14 | 17cb1b236 |
15 | d7c01465 |
hex | 89b027d0 |
2310023120 has 20 divisors (see below), whose sum is σ = 5370803940. Its totient is φ = 924009216.
The previous prime is 2310023117. The next prime is 2310023129. The reversal of 2310023120 is 213200132.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 1055730064 + 1254293056 = 32492^2 + 35416^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a junction number, because it is equal to n+sod(n) for n = 2310023095 and 2310023104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2310023129) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 14437565 + ... + 14437724.
It is an arithmetic number, because the mean of its divisors is an integer number (268540197).
Almost surely, 22310023120 is an apocalyptic number.
2310023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2310023120 is an abundant number, since it is smaller than the sum of its proper divisors (3060780820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2310023120 is a wasteful number, since it uses less digits than its factorization.
2310023120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28875302 (or 28875296 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2310023120 is about 48062.6998825493. The cubic root of 2310023120 is about 1321.9208184727.
Adding to 2310023120 its reverse (213200132), we get a palindrome (2523223252).
The spelling of 2310023120 in words is "two billion, three hundred ten million, twenty-three thousand, one hundred twenty".
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