Base | Representation |
---|---|
bin | 1000100111100010… |
… | …0011010001010000 |
3 | 12222012212222022100 |
4 | 2021320203101100 |
5 | 14214201144440 |
6 | 1021314040400 |
7 | 111216515652 |
oct | 21170432120 |
9 | 5865788270 |
10 | 2313303120 |
11 | a87887967 |
12 | 546879100 |
13 | 2ab35231b |
14 | 17d3326d2 |
15 | d814d230 |
hex | 89e23450 |
2313303120 has 120 divisors (see below), whose sum is σ = 7789374216. Its totient is φ = 615250944.
The previous prime is 2313303119. The next prime is 2313303151. The reversal of 2313303120 is 213033132.
2313303120 is a `hidden beast` number, since 23 + 1 + 330 + 312 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 314140176 + 1999162944 = 17724^2 + 44712^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 = 2313303093 and 2313303102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281794 + ... + 289886.
Almost surely, 22313303120 is an apocalyptic number.
2313303120 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 2313303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894687108).
2313303120 is an abundant number, since it is smaller than the sum of its proper divisors (5476071096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2313303120 is a wasteful number, since it uses less digits than its factorization.
2313303120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8509 (or 8500 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 2313303120 is about 48096.8098734209. The cubic root of 2313303120 is about 1322.5461873538.
Adding to 2313303120 its reverse (213033132), we get a palindrome (2526336252).
The spelling of 2313303120 in words is "two billion, three hundred thirteen million, three hundred three thousand, one hundred twenty".
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