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130431342213 = 3253481356813
BaseRepresentation
bin111100101111001010…
…0000101011010000101
3110110122222120200220100
41321132110011122011
54114110410422323
6135530324154313
712265132054554
oct1713624053205
9413588520810
10130431342213
11503521019a7
1221341238999
13c3b836b003
1464548abd9b
1535d5b68943
hex1e5e505685

130431342213 has 24 divisors (see below), whose sum is σ = 191998822392. Its totient is φ = 85294355328.

The previous prime is 130431342203. The next prime is 130431342259. The reversal of 130431342213 is 312243134031.

It is a happy number.

130431342213 is a `hidden beast` number, since 1 + 3 + 0 + 431 + 3 + 4 + 221 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89414156484 + 41017185729 = 299022^2 + 202527^2 .

It is not a de Polignac number, because 130431342213 - 26 = 130431342149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130431342203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2267395 + ... + 2324207.

It is an arithmetic number, because the mean of its divisors is an integer number (7999950933).

Almost surely, 2130431342213 is an apocalyptic number.

It is an amenable number.

130431342213 is a deficient number, since it is larger than the sum of its proper divisors (61567480179).

130431342213 is a wasteful number, since it uses less digits than its factorization.

130431342213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61685 (or 61682 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130431342213 its reverse (312243134031), we get a palindrome (442674476244).

The spelling of 130431342213 in words is "one hundred thirty billion, four hundred thirty-one million, three hundred forty-two thousand, two hundred thirteen".

Divisors: 1 3 9 53 159 477 4813 14439 43317 56813 170439 255089 511317 765267 2295801 3011089 9033267 27099801 273440969 820322907 2460968721 14492371357 43477114071 130431342213