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5205130041 = 310126936379
BaseRepresentation
bin1001101100011111…
…11111101100111001
3111102202101000002010
410312033333230321
541130003130131
62220300000133
7242662606146
oct46617775471
914382330063
105205130041
112231184271
121013230049
1364c4c0c07
1437541b3cd
15206e75b46
hex1363ffb39

5205130041 has 16 divisors (see below), whose sum is σ = 7012589760. Its totient is φ = 3433915200.

The previous prime is 5205129973. The next prime is 5205130079. The reversal of 5205130041 is 1400315025.

It is not a de Polignac number, because 5205130041 - 219 = 5204605753 is a prime.

It is a super-3 number, since 3×52051300413 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5205130741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812790 + ... + 819168.

It is an arithmetic number, because the mean of its divisors is an integer number (438286860).

Almost surely, 25205130041 is an apocalyptic number.

It is an amenable number.

5205130041 is a deficient number, since it is larger than the sum of its proper divisors (1807459719).

5205130041 is a wasteful number, since it uses less digits than its factorization.

5205130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5205130041 is about 72146.5871750009. The cubic root of 5205130041 is about 1733.0477467811.

Adding to 5205130041 its reverse (1400315025), we get a palindrome (6605445066).

The spelling of 5205130041 in words is "five billion, two hundred five million, one hundred thirty thousand, forty-one".

Divisors: 1 3 101 303 2693 6379 8079 19137 271993 644279 815979 1932837 17178647 51535941 1735043347 5205130041