Base | Representation |
---|---|
bin | 111100101011111000… |
… | …0010011101101100000 |
3 | 110110101022111222210200 |
4 | 1321113300103231200 |
5 | 4113344223102240 |
6 | 135511353425200 |
7 | 12262324526661 |
oct | 1712760235540 |
9 | 413338458720 |
10 | 130321300320 |
11 | 502a5a81892 |
12 | 2131040b200 |
13 | c39b61c873 |
14 | 6444025368 |
15 | 35cb17d930 |
hex | 1e57c13b60 |
130321300320 has 144 divisors (see below), whose sum is σ = 449306676000. Its totient is φ = 34394038272.
The previous prime is 130321300313. The next prime is 130321300357. The reversal of 130321300320 is 23003123031.
130321300320 is a `hidden beast` number, since 13 + 0 + 32 + 1 + 300 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 130321300293 and 130321300302.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326820 + ... + 606179.
It is an arithmetic number, because the mean of its divisors is an integer number (3120185250).
Almost surely, 2130321300320 is an apocalyptic number.
130321300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
130321300320 is an abundant number, since it is smaller than the sum of its proper divisors (318985375680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130321300320 is a wasteful number, since it uses less digits than its factorization.
130321300320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 933117 (or 933106 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 130321300320 its reverse (23003123031), we get a palindrome (153324423351).
The spelling of 130321300320 in words is "one hundred thirty billion, three hundred twenty-one million, three hundred thousand, three hundred twenty".
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