Search a number
-
+
130103012313 = 32181540714771
BaseRepresentation
bin111100100101010111…
…1100110101111011001
3110102211002202210221200
41321022233212233121
54112422332343223
6135433555024413
712254034233541
oct1711257465731
9412732683850
10130103012313
11501a383887a
122126b29b109
13c365331471
146423042321
1535b6e10a43
hex1e4abe6bd9

130103012313 has 24 divisors (see below), whose sum is σ = 189012585216. Its totient is φ = 86234349600.

The previous prime is 130103012279. The next prime is 130103012327. The reversal of 130103012313 is 313210301031.

It is a happy number.

130103012313 is a `hidden beast` number, since 130 + 1 + 0 + 301 + 231 + 3 = 666.

It is not a de Polignac number, because 130103012313 - 210 = 130103011289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130103012363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8800618 + ... + 8815388.

It is an arithmetic number, because the mean of its divisors is an integer number (7875524384).

Almost surely, 2130103012313 is an apocalyptic number.

It is an amenable number.

130103012313 is a deficient number, since it is larger than the sum of its proper divisors (58909572903).

130103012313 is a wasteful number, since it uses less digits than its factorization.

130103012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20362 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130103012313 its reverse (313210301031), we get a palindrome (443313313344).

The spelling of 130103012313 in words is "one hundred thirty billion, one hundred three million, twelve thousand, three hundred thirteen".

Divisors: 1 3 9 181 543 1629 5407 14771 16221 44313 48663 132939 978667 2673551 2936001 8020653 8808003 24061959 79866797 239600391 718801173 14455890257 43367670771 130103012313