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130803165 = 3258093593
BaseRepresentation
bin1111100101111…
…10010111011101
3100010010111012200
413302332113131
5231441200130
620551322113
73145544223
oct762762735
9303114180
10130803165
1167920399
1237980339
132113a22c
141352cb13
15b73b760
hex7cbe5dd

130803165 has 24 divisors (see below), whose sum is σ = 227068920. Its totient is φ = 69656064.

The previous prime is 130803157. The next prime is 130803173. The reversal of 130803165 is 561308031.

It is an interprime number because it is at equal distance from previous prime (130803157) and next prime (130803173).

It can be written as a sum of positive squares in 4 ways, for example, as 24176889 + 106626276 = 4917^2 + 10326^2 .

It is not a de Polignac number, because 130803165 - 23 = 130803157 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, 34609 + ... + 38201.

It is an arithmetic number, because the mean of its divisors is an integer number (9461205).

Almost surely, 2130803165 is an apocalyptic number.

130803165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130803165 is a deficient number, since it is larger than the sum of its proper divisors (96265755).

130803165 is a wasteful number, since it uses less digits than its factorization.

130803165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4410 counting only the distinct ones).

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

The square root of 130803165 is about 11436.9211328924. The cubic root of 130803165 is about 507.6208097291.

The spelling of 130803165 in words is "one hundred thirty million, eight hundred three thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 809 2427 3593 4045 7281 10779 12135 17965 32337 36405 53895 161685 2906737 8720211 14533685 26160633 43601055 130803165