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130613085 = 3254170793
BaseRepresentation
bin1111100100011…
…11111101011101
3100002202211110200
413302033331131
5231414104320
620543254113
73144123111
oct762177535
9302684420
10130613085
11678005a9
12378aa339
13210a1865
14134bd741
15b700290
hex7c8ff5d

130613085 has 24 divisors (see below), whose sum is σ = 231921144. Its totient is φ = 67960320.

The previous prime is 130613029. The next prime is 130613111. The reversal of 130613085 is 580316031.

It can be written as a sum of positive squares in 4 ways, for example, as 9326916 + 121286169 = 3054^2 + 11013^2 .

It is not a de Polignac number, because 130613085 - 27 = 130612957 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33552 + ... + 37241.

It is an arithmetic number, because the mean of its divisors is an integer number (9663381).

Almost surely, 2130613085 is an apocalyptic number.

130613085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130613085 is a deficient number, since it is larger than the sum of its proper divisors (101308059).

130613085 is a wasteful number, since it uses less digits than its factorization.

130613085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70845 (or 70842 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130613085 is about 11428.6081829766. The cubic root of 130613085 is about 507.3748030937.

The spelling of 130613085 in words is "one hundred thirty million, six hundred thirteen thousand, eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 70793 212379 353965 637137 1061895 2902513 3185685 8707539 14512565 26122617 43537695 130613085