Base | Representation |
---|---|
bin | 1000100110101111… |
… | …1111010100001000 |
3 | 12221222200200011101 |
4 | 2021223333110020 |
5 | 14212330310440 |
6 | 1021115311144 |
7 | 111146522245 |
oct | 21153772410 |
9 | 5858620141 |
10 | 2310010120 |
11 | a85a38880 |
12 | 54574b4b4 |
13 | 2aa76b4c2 |
14 | 17cb165cc |
15 | d7bec69a |
hex | 89aff508 |
2310010120 has 96 divisors (see below), whose sum is σ = 5984565120. Its totient is φ = 795738240.
The previous prime is 2310010111. The next prime is 2310010123. The reversal of 2310010120 is 210100132.
2310010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×23100101202 = 10672293509004828800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 2310010097 and 2310010106.
It is not an unprimeable number, because it can be changed into a prime (2310010123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151569 + ... + 166111.
It is an arithmetic number, because the mean of its divisors is an integer number (62339220).
Almost surely, 22310010120 is an apocalyptic number.
2310010120 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 2310010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992282560).
2310010120 is an abundant number, since it is smaller than the sum of its proper divisors (3674555000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2310010120 is a wasteful number, since it uses less digits than its factorization.
2310010120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14603 (or 14580 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 2310010120 is about 48062.5646423492. The cubic root of 2310010120 is about 1321.9183386991.
Adding to 2310010120 its reverse (210100132), we get a palindrome (2520110252).
The spelling of 2310010120 in words is "two billion, three hundred ten million, ten thousand, one hundred twenty".
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