Search a number
-
+
130311441 = 32131113773
BaseRepresentation
bin1111100010001…
…10010100010001
3100002012111200200
413301012110101
5231324431231
620533005413
73141425511
oct761062421
9302174620
10130311441
1167614a07
1237783869
1320cc7480
1413441841
15b690be6
hex7c46511

130311441 has 12 divisors (see below), whose sum is σ = 202706868. Its totient is φ = 80191584.

The previous prime is 130311437. The next prime is 130311473. The reversal of 130311441 is 144113031.

It can be written as a sum of positive squares in 2 ways, for example, as 20061441 + 110250000 = 4479^2 + 10500^2 .

It is not a de Polignac number, because 130311441 - 22 = 130311437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130311421) 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, 556770 + ... + 557003.

It is an arithmetic number, because the mean of its divisors is an integer number (16892239).

Almost surely, 2130311441 is an apocalyptic number.

It is an amenable number.

130311441 is a deficient number, since it is larger than the sum of its proper divisors (72395427).

130311441 is a wasteful number, since it uses less digits than its factorization.

130311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113792 (or 1113789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130311441 is about 11415.4036722317. The cubic root of 130311441 is about 506.9839169530.

Adding to 130311441 its reverse (144113031), we get a palindrome (274424472).

The spelling of 130311441 in words is "one hundred thirty million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 1113773 3341319 10023957 14479049 43437147 130311441