Base | Representation |
---|---|
bin | 1111100000110… |
… | …00010011110001 |
3 | 100001211221012010 |
4 | 13300120103301 |
5 | 231302413433 |
6 | 20524553133 |
7 | 3140012220 |
oct | 760302361 |
9 | 301757163 |
10 | 130122993 |
11 | 674a6370 |
12 | 376b27a9 |
13 | 20c5c770 |
14 | 133d2cb7 |
15 | b654e63 |
hex | 7c184f1 |
130122993 has 32 divisors (see below), whose sum is σ = 232952832. Its totient is φ = 62395200.
The previous prime is 130122989. The next prime is 130123009. The reversal of 130122993 is 399221031.
It is a happy number.
It is not a de Polignac number, because 130122993 - 22 = 130122989 is a prime.
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a self number, because there is not a number n which added to its sum of digits gives 130122993.
It is not an unprimeable number, because it can be changed into a prime (130122973) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18663 + ... + 24668.
It is an arithmetic number, because the mean of its divisors is an integer number (7279776).
Almost surely, 2130122993 is an apocalyptic number.
130122993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
130122993 is a deficient number, since it is larger than the sum of its proper divisors (102829839).
130122993 is a wasteful number, since it uses less digits than its factorization.
130122993 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43365.
The product of its (nonzero) digits is 2916, while the sum is 30.
The square root of 130122993 is about 11407.1465757217. The cubic root of 130122993 is about 506.7394099061.
The spelling of 130122993 in words is "one hundred thirty million, one hundred twenty-two thousand, nine hundred ninety-three".
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