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5103524313 = 34296135617
BaseRepresentation
bin1001100000011000…
…11001100111011001
3111011200011220020000
410300030121213121
540423000234223
62202230123213
7240320145426
oct46014314731
914150156200
105103524313
112189896398
12ba51b0509
13634437594
14365b2cd4d
151ed0a5543
hex1303199d9

5103524313 has 40 divisors (see below), whose sum is σ = 8016187080. Its totient is φ = 3231083520.

The previous prime is 5103524297. The next prime is 5103524369. The reversal of 5103524313 is 3134253015.

5103524313 is a `hidden beast` number, since 5 + 103 + 524 + 31 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 5097531609 = 2448^2 + 71397^2 .

It is not a de Polignac number, because 5103524313 - 24 = 5103524297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5103524113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125481 + ... + 161097.

It is an arithmetic number, because the mean of its divisors is an integer number (200404677).

Almost surely, 25103524313 is an apocalyptic number.

It is an amenable number.

5103524313 is a deficient number, since it is larger than the sum of its proper divisors (2912662767).

5103524313 is a wasteful number, since it uses less digits than its factorization.

5103524313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35719 (or 35710 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5103524313 is about 71438.9551505339. The cubic root of 5103524313 is about 1721.6970263022.

Adding to 5103524313 its reverse (3134253015), we get a palindrome (8237777328).

The spelling of 5103524313 in words is "five billion, one hundred three million, five hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 27 29 61 81 87 183 261 549 783 1647 1769 2349 4941 5307 15921 35617 47763 106851 143289 320553 961659 1032893 2172637 2884977 3098679 6517911 9296037 19553733 27888111 58661199 63006473 83664333 175983597 189019419 567058257 1701174771 5103524313