Base | Representation |
---|---|
bin | 1111100010001… |
… | …01111101110000 |
3 | 100002012102201022 |
4 | 13301011331300 |
5 | 231324410000 |
6 | 20532555012 |
7 | 3141421352 |
oct | 761057560 |
9 | 302172638 |
10 | 130310000 |
11 | 67613917 |
12 | 37782a68 |
13 | 20cc6912 |
14 | 134410d2 |
15 | b690585 |
hex | 7c45f70 |
130310000 has 100 divisors (see below), whose sum is σ = 321328392. Its totient is φ = 51168000.
The previous prime is 130309997. The next prime is 130310003. The reversal of 130310000 is 13031.
It is an interprime number because it is at equal distance from previous prime (130309997) and next prime (130310003).
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-2 number, since 2×1303100002 = 33961392200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 130310000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130310003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829922 + ... + 830078.
Almost surely, 2130310000 is an apocalyptic number.
130310000 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 130310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160664196).
130310000 is an abundant number, since it is smaller than the sum of its proper divisors (191018392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130310000 is an equidigital number, since it uses as much as digits as its factorization.
130310000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 268 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 8.
The square root of 130310000 is about 11415.3405555857. The cubic root of 130310000 is about 506.9820481826.
Adding to 130310000 its reverse (13031), we get a palindrome (130323031).
Multiplying 130310000 by its reverse (13031), we get a square (1698069610000 = 13031002).
130310000 divided by its reverse (13031) gives a 4-th power (10000 = 104).
The spelling of 130310000 in words is "one hundred thirty million, three hundred ten thousand".
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