Base | Representation |
---|---|
bin | 1111100000110… |
… | …00100011110000 |
3 | 100001211222121000 |
4 | 13300120203300 |
5 | 231302432031 |
6 | 20525002000 |
7 | 3140015211 |
oct | 760304360 |
9 | 301758530 |
10 | 130124016 |
11 | 674a7110 |
12 | 376b3300 |
13 | 20c60079 |
14 | 133d3408 |
15 | b6553e6 |
hex | 7c188f0 |
130124016 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 38949120.
The previous prime is 130124011. The next prime is 130124017. The reversal of 130124016 is 610421031.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 130124016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130124011) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660430 + ... + 660626.
It is an arithmetic number, because the mean of its divisors is an integer number (2577960).
Almost surely, 2130124016 is an apocalyptic number.
130124016 is a gapful number since it is divisible by the number (16) 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 130124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).
130124016 is an abundant number, since it is smaller than the sum of its proper divisors (282349584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130124016 is a wasteful number, since it uses less digits than its factorization.
130124016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 364 (or 352 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 130124016 is about 11407.1914159446. The cubic root of 130124016 is about 506.7407378627.
Adding to 130124016 its reverse (610421031), we get a palindrome (740545047).
The spelling of 130124016 in words is "one hundred thirty million, one hundred twenty-four thousand, sixteen".
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