Base | Representation |
---|---|
bin | 1111100010010… |
… | …00111110010000 |
3 | 100002020001121121 |
4 | 13301020332100 |
5 | 231330303240 |
6 | 20533132024 |
7 | 3141502312 |
oct | 761107620 |
9 | 302201547 |
10 | 130322320 |
11 | 676220a7 |
12 | 3778a014 |
13 | 20ccc3cb |
14 | 134457b2 |
15 | b69404a |
hex | 7c48f90 |
130322320 has 60 divisors (see below), whose sum is σ = 308427804. Its totient is φ = 51206400.
The previous prime is 130322299. The next prime is 130322321. The reversal of 130322320 is 23223031.
It can be written as a sum of positive squares in 2 ways, for example, as 93161104 + 37161216 = 9652^2 + 6096^2 .
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 = 130322294 and 130322303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130322321) 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 11 ways as a sum of consecutive naturals, for example, 1026097 + ... + 1026223.
Almost surely, 2130322320 is an apocalyptic number.
130322320 is a gapful number since it is divisible by the number (10) 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 130322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154213902).
130322320 is an abundant number, since it is smaller than the sum of its proper divisors (178105484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130322320 is a wasteful number, since it uses less digits than its factorization.
130322320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 368 (or 235 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 130322320 is about 11415.8801675561. The cubic root of 130322320 is about 506.9980250122.
Adding to 130322320 its reverse (23223031), we get a palindrome (153545351).
The spelling of 130322320 in words is "one hundred thirty million, three hundred twenty-two thousand, three hundred twenty".
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