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130085373 = 3115374377
BaseRepresentation
bin1111100000011…
…11000111111101
3100001210000120210
413300033013331
5231300212443
620524103033
73136464435
oct760170775
9301700523
10130085373
1167480080
1237694a79
1320c485c2
14133c32c5
15b648c33
hex7c0f1fd

130085373 has 16 divisors (see below), whose sum is σ = 192787776. Its totient is φ = 77351040.

The previous prime is 130085359. The next prime is 130085399. The reversal of 130085373 is 373580031.

It is not a de Polignac number, because 130085373 - 25 = 130085341 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130085373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130085353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35440 + ... + 38937.

It is an arithmetic number, because the mean of its divisors is an integer number (12049236).

Almost surely, 2130085373 is an apocalyptic number.

It is an amenable number.

130085373 is a deficient number, since it is larger than the sum of its proper divisors (62702403).

130085373 is a wasteful number, since it uses less digits than its factorization.

130085373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74444.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 130085373 is about 11405.4974902457. The cubic root of 130085373 is about 506.6905705385.

It can be divided in two parts, 13008 and 5373, that added together give a palindrome (18381).

The spelling of 130085373 in words is "one hundred thirty million, eighty-five thousand, three hundred seventy-three".

Divisors: 1 3 11 33 53 159 583 1749 74377 223131 818147 2454441 3941981 11825943 43361791 130085373