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130537314 = 2327252073
BaseRepresentation
bin1111100011111…
…01011101100010
3100002121222112100
413301331131202
5231404143224
620541511230
73143356155
oct761753542
9302558470
10130537314
1167759686
1237872516
132107621b
141349dc9c
15b6d7ac9
hex7c7d762

130537314 has 12 divisors (see below), whose sum is σ = 282830886. Its totient is φ = 43512432.

The previous prime is 130537313. The next prime is 130537327. The reversal of 130537314 is 413735031.

130537314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 100100025 + 30437289 = 10005^2 + 5517^2 .

It is not an unprimeable number, because it can be changed into a prime (130537313) 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 5 ways as a sum of consecutive naturals, for example, 3626019 + ... + 3626054.

Almost surely, 2130537314 is an apocalyptic number.

130537314 is an abundant number, since it is smaller than the sum of its proper divisors (152293572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130537314 is a wasteful number, since it uses less digits than its factorization.

130537314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252081 (or 7252078 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130537314 is about 11425.2927314796. The cubic root of 130537314 is about 507.2766716988.

The spelling of 130537314 in words is "one hundred thirty million, five hundred thirty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 7252073 14504146 21756219 43512438 65268657 130537314