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130432934025 = 3252240772
BaseRepresentation
bin111100101111001101…
…0001010000010001001
3110110200002120120110100
41321132122022002021
54114111312342100
6135530422240013
712265151434452
oct1713632120211
9413602516410
10130432934025
1150352a99949
1221341886009
13c3b87a7704
146454ba4129
1535d5d80400
hex1e5e68a089

130432934025 has 27 divisors (see below), whose sum is σ = 233629580821. Its totient is φ = 69561342240.

The previous prime is 130432933973. The next prime is 130432934029. The reversal of 130432934025 is 520439234031.

The square root of 130432934025 is 361155.

It is a perfect power (a square), and thus also a powerful number.

130432934025 is a `hidden beast` number, since 1 + 304 + 3 + 2 + 9 + 340 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19591880841 + 110841053184 = 139971^2 + 332928^2 .

It is not a de Polignac number, because 130432934025 - 29 = 130432933513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130432934029) 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 26 ways as a sum of consecutive naturals, for example, 5405287 + ... + 5429363.

Almost surely, 2130432934025 is an apocalyptic number.

130432934025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130432934025 is the 361155-th square number.

130432934025 is the 180578-th centered octagonal number.

It is an amenable number.

130432934025 is a deficient number, since it is larger than the sum of its proper divisors (103196646796).

130432934025 is an frugal number, since it uses more digits than its factorization.

130432934025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48170 (or 24085 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 130432934025 by its sum of digits (36), we get a square (4695585624900 = 21669302).

The spelling of 130432934025 in words is "one hundred thirty billion, four hundred thirty-two million, nine hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 24077 72231 120385 216693 361155 601925 1083465 1805775 5417325 579701929 1739105787 2898509645 5217317361 8695528935 14492548225 26086586805 43477644675 130432934025