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130432313 = 1121763409
BaseRepresentation
bin1111100011000…
…11110100111001
3100002102122111102
413301203310321
5231342313223
620535341145
73142441064
oct761436471
9302378442
10130432313
1167697800
12378217b5
132103a4ab
14134738db
15b6b6928
hex7c63d39

130432313 has 12 divisors (see below), whose sum is σ = 151803540. Its totient is φ = 111598080.

The previous prime is 130432297. The next prime is 130432331. The reversal of 130432313 is 313234031.

It can be written as a sum of positive squares in 2 ways, for example, as 50651689 + 79780624 = 7117^2 + 8932^2 .

It is not a de Polignac number, because 130432313 - 24 = 130432297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130432013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29648 + ... + 33761.

It is an arithmetic number, because the mean of its divisors is an integer number (12650295).

Almost surely, 2130432313 is an apocalyptic number.

It is an amenable number.

130432313 is a deficient number, since it is larger than the sum of its proper divisors (21371227).

130432313 is a wasteful number, since it uses less digits than its factorization.

130432313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63448 (or 63437 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 130432313 is about 11420.6966950357. The cubic root of 130432313 is about 507.1406215939.

Adding to 130432313 its reverse (313234031), we get a palindrome (443666344).

The spelling of 130432313 in words is "one hundred thirty million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 11 17 121 187 2057 63409 697499 1077953 7672489 11857483 130432313