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130105335 = 3517510217
BaseRepresentation
bin1111100000100…
…11111111110111
3100001211000222010
413300103333313
5231301332320
620524335303
73136606563
oct760237767
9301730863
10130105335
1167494078
12376a4533
1320c54709
14133ca6a3
15b64eae0
hex7c13ff7

130105335 has 16 divisors (see below), whose sum is σ = 220414176. Its totient is φ = 65307648.

The previous prime is 130105333. The next prime is 130105351. The reversal of 130105335 is 533501031.

It is a happy number.

It is not a de Polignac number, because 130105335 - 21 = 130105333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130105333) 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 15 ways as a sum of consecutive naturals, for example, 254854 + ... + 255363.

It is an arithmetic number, because the mean of its divisors is an integer number (13775886).

Almost surely, 2130105335 is an apocalyptic number.

130105335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130105335 is a deficient number, since it is larger than the sum of its proper divisors (90308841).

130105335 is a wasteful number, since it uses less digits than its factorization.

130105335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510242.

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

The square root of 130105335 is about 11406.3725609854. The cubic root of 130105335 is about 506.7164869543.

Adding to 130105335 its reverse (533501031), we get a palindrome (663606366).

The spelling of 130105335 in words is "one hundred thirty million, one hundred five thousand, three hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 510217 1530651 2551085 7653255 8673689 26021067 43368445 130105335