Base | Representation |
---|---|
bin | 1111100000110… |
… | …00110101000000 |
3 | 100001212001002220 |
4 | 13300120311000 |
5 | 231303000440 |
6 | 20525011040 |
7 | 3140021346 |
oct | 760306500 |
9 | 301761086 |
10 | 130125120 |
11 | 674a7a24 |
12 | 376b3a80 |
13 | 20c60718 |
14 | 133d3996 |
15 | b6558d0 |
hex | 7c18d40 |
130125120 has 112 divisors (see below), whose sum is σ = 418063680. Its totient is φ = 34287616.
The previous prime is 130125113. The next prime is 130125131. The reversal of 130125120 is 21521031.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 130125120.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84679 + ... + 86201.
Almost surely, 2130125120 is an apocalyptic number.
130125120 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 130125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209031840).
130125120 is an abundant number, since it is smaller than the sum of its proper divisors (287938560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130125120 is a wasteful number, since it uses less digits than its factorization.
130125120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1632 (or 1622 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 15.
The square root of 130125120 is about 11407.2398063686. The cubic root of 130125120 is about 506.7421709576.
Adding to 130125120 its reverse (21521031), we get a palindrome (151646151).
It can be divided in two parts, 130 and 125120, that added together give a triangular number (125250 = T500).
The spelling of 130125120 in words is "one hundred thirty million, one hundred twenty-five thousand, one hundred twenty".
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