Base | Representation |
---|---|
bin | 10010111101101110101… |
… | …100000010101111010000 |
3 | 11121120212111011200001200 |
4 | 102331232230002233100 |
5 | 132323004411130000 |
6 | 2434410243231200 |
7 | 163104210221043 |
oct | 22755654025720 |
9 | 4546774150050 |
10 | 1303232130000 |
11 | 462774620309 |
12 | 1906a9978500 |
13 | 95b819055b8 |
14 | 47110938c5a |
15 | 23d77a6d500 |
hex | 12f6eb02bd0 |
1303232130000 has 600 divisors, whose sum is σ = 4703960032200. Its totient is φ = 336462336000.
The previous prime is 1303232129939. The next prime is 1303232130001. The reversal of 1303232130000 is 312323031.
1303232130000 is a `hidden beast` number, since 1 + 303 + 232 + 130 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 20 ways, for example, as 1078590256704 + 224641873296 = 1038552^2 + 473964^2 .
It is a tau number, because it is divible by the number of its divisors (600).
It is a super-3 number, since 3×13032321300003 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1303232130001) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 762569146 + ... + 762570854.
It is an arithmetic number, because the mean of its divisors is an integer number (7839933387).
Almost surely, 21303232130000 is an apocalyptic number.
1303232130000 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 1303232130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351980016100).
1303232130000 is an abundant number, since it is smaller than the sum of its proper divisors (3400727902200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1303232130000 is a wasteful number, since it uses less digits than its factorization.
1303232130000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2009 (or 1985 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 1303232130000 its reverse (312323031), we get a palindrome (1303544453031).
The spelling of 1303232130000 in words is "one trillion, three hundred three billion, two hundred thirty-two million, one hundred thirty thousand".
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