Base | Representation |
---|---|
bin | 10101100010101010… |
… | …101101100100000000 |
3 | 2012200222112220211221 |
4 | 111202222231210000 |
5 | 334332312402240 |
6 | 14343104244424 |
7 | 1446121313233 |
oct | 254252554400 |
9 | 65628486757 |
10 | 23130200320 |
11 | 989a438937 |
12 | 4596310714 |
13 | 2248047b86 |
14 | 1195d0141a |
15 | 90597ca4a |
hex | 562aad900 |
23130200320 has 72 divisors (see below), whose sum is σ = 55490908536. Its totient is φ = 9237577728.
The previous prime is 23130200311. The next prime is 23130200333. The reversal of 23130200320 is 2300203132.
It can be written as a sum of positive squares in 4 ways, for example, as 625400064 + 22504800256 = 25008^2 + 150016^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 23130200294 and 23130200303.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822004 + ... + 849676.
It is an arithmetic number, because the mean of its divisors is an integer number (770707063).
Almost surely, 223130200320 is an apocalyptic number.
23130200320 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 23130200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27745454268).
23130200320 is an abundant number, since it is smaller than the sum of its proper divisors (32360708216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23130200320 is an equidigital number, since it uses as much as digits as its factorization.
23130200320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28347 (or 28333 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
Adding to 23130200320 its reverse (2300203132), we get a palindrome (25430403452).
The spelling of 23130200320 in words is "twenty-three billion, one hundred thirty million, two hundred thousand, three hundred twenty".
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