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130410413 = 724016637
BaseRepresentation
bin1111100010111…
…10011110101101
3100002101112110022
413301132132231
5231341113123
620535051525
73142320200
oct761363655
9302345408
10130410413
1167682301
1237810ba5
1321030533
1413469937
15b6b01c8
hex7c5e7ad

130410413 has 12 divisors (see below), whose sum is σ = 152103132. Its totient is φ = 111484800.

The previous prime is 130410377. The next prime is 130410421. The reversal of 130410413 is 314014031.

It can be written as a sum of positive squares in 2 ways, for example, as 66618244 + 63792169 = 8162^2 + 7987^2 .

It is not a de Polignac number, because 130410413 - 226 = 63301549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130410391 and 130410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130410113) 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, 16331 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (12675261).

Almost surely, 2130410413 is an apocalyptic number.

It is an amenable number.

130410413 is a deficient number, since it is larger than the sum of its proper divisors (21692719).

130410413 is an equidigital number, since it uses as much as digits as its factorization.

130410413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 130410413 is about 11419.7378691457. The cubic root of 130410413 is about 507.1122364977.

Adding to 130410413 its reverse (314014031), we get a palindrome (444424444).

The spelling of 130410413 in words is "one hundred thirty million, four hundred ten thousand, four hundred thirteen".

Divisors: 1 7 49 401 2807 6637 19649 46459 325213 2661437 18630059 130410413