Base | Representation |
---|---|
bin | 1111011111110… |
… | …11000010111101 |
3 | 100001121211202212 |
4 | 13233323002331 |
5 | 231240100013 |
6 | 20522230205 |
7 | 3136002611 |
oct | 757730275 |
9 | 301554685 |
10 | 130003133 |
11 | 67424307 |
12 | 37655365 |
13 | 20c1a040 |
14 | 133a1341 |
15 | b62e6a8 |
hex | 7bfb0bd |
130003133 has 8 divisors (see below), whose sum is σ = 140230776. Its totient is φ = 119808000.
The previous prime is 130003129. The next prime is 130003177. The reversal of 130003133 is 331300031.
It can be written as a sum of positive squares in 4 ways, for example, as 54434884 + 75568249 = 7378^2 + 8693^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is not a de Polignac number, because 130003133 - 22 = 130003129 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130003103) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 533 + ... + 16133.
It is an arithmetic number, because the mean of its divisors is an integer number (17528847).
Almost surely, 2130003133 is an apocalyptic number.
130003133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
130003133 is a deficient number, since it is larger than the sum of its proper divisors (10227643).
130003133 is a wasteful number, since it uses less digits than its factorization.
130003133 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16255.
The product of its (nonzero) digits is 81, while the sum is 14.
The square root of 130003133 is about 11401.8916413023. The cubic root of 130003133 is about 506.5837714010.
Adding to 130003133 its reverse (331300031), we get a palindrome (461303164).
The spelling of 130003133 in words is "one hundred thirty million, three thousand, one hundred thirty-three".
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