Base | Representation |
---|---|
bin | 111100101100100001… |
… | …1101001010010010001 |
3 | 110110102211121220022200 |
4 | 1321121003221102101 |
5 | 4113420321143031 |
6 | 135513453553413 |
7 | 12263011315611 |
oct | 1713103512221 |
9 | 413384556280 |
10 | 130343146641 |
11 | 503073432a4 |
12 | 213177a5869 |
13 | c3a2ccb496 |
14 | 6446cb0a41 |
15 | 35cd0468e6 |
hex | 1e590e9491 |
130343146641 has 12 divisors (see below), whose sum is σ = 188442001332. Its totient is φ = 86817630816.
The previous prime is 130343146607. The next prime is 130343146649. The reversal of 130343146641 is 146641343031.
130343146641 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 3 + 1 + 4 + 6 + 641 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 10139483025 + 120203663616 = 100695^2 + 346704^2 .
It is not a de Polignac number, because 130343146641 - 210 = 130343145617 is a prime.
It is a super-3 number, since 3×1303431466413 (a number of 34 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 130343146596 and 130343146605.
It is not an unprimeable number, because it can be changed into a prime (130343146649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6472746 + ... + 6492851.
It is an arithmetic number, because the mean of its divisors is an integer number (15703500111).
Almost surely, 2130343146641 is an apocalyptic number.
It is an amenable number.
130343146641 is a deficient number, since it is larger than the sum of its proper divisors (58098854691).
130343146641 is a wasteful number, since it uses less digits than its factorization.
130343146641 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12966720 (or 12966717 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
Adding to 130343146641 its reverse (146641343031), we get a palindrome (276984489672).
The spelling of 130343146641 in words is "one hundred thirty billion, three hundred forty-three million, one hundred forty-six thousand, six hundred forty-one".
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