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130135305 = 3521141117
BaseRepresentation
bin1111100000110…
…11010100001001
3100001212120002010
413300123110021
5231303312210
620525130133
73140063136
oct760332411
9301776063
10130135305
1167504643
12376b9949
1320c65251
14133d758d
15b658920
hex7c1b509

130135305 has 16 divisors (see below), whose sum is σ = 209208384. Its totient is φ = 69074880.

The previous prime is 130135301. The next prime is 130135319. The reversal of 130135305 is 503531031.

It is a happy number.

It is not a de Polignac number, because 130135305 - 22 = 130135301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130135301) 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 15 ways as a sum of consecutive naturals, for example, 17394 + ... + 23723.

It is an arithmetic number, because the mean of its divisors is an integer number (13075524).

Almost surely, 2130135305 is an apocalyptic number.

130135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130135305 is a deficient number, since it is larger than the sum of its proper divisors (79073079).

130135305 is a wasteful number, since it uses less digits than its factorization.

130135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41336.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 130135305 is about 11407.6862246470. The cubic root of 130135305 is about 506.7553916546.

Adding to 130135305 its reverse (503531031), we get a palindrome (633666336).

The spelling of 130135305 in words is "one hundred thirty million, one hundred thirty-five thousand, three hundred five".

Divisors: 1 3 5 15 211 633 1055 3165 41117 123351 205585 616755 8675687 26027061 43378435 130135305