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5013434130 = 2351773313411
BaseRepresentation
bin1001010101101001…
…01110111100010010
3110221101122211201120
410222310232330102
540231414343010
62145251143110
7235144326015
oct45264567422
913841584646
105013434130
112142a532a1
12b7aba4a96
1361b883593
14357b9b37c
151e520be70
hex12ad2ef12

5013434130 has 64 divisors (see below), whose sum is σ = 12758352768. Its totient is φ = 1256463360.

The previous prime is 5013434119. The next prime is 5013434149. The reversal of 5013434130 is 314343105.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5013434130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367125 + ... + 380535.

It is an arithmetic number, because the mean of its divisors is an integer number (199349262).

Almost surely, 25013434130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379176384).

5013434130 is an abundant number, since it is smaller than the sum of its proper divisors (7744918638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5013434130 is a wasteful number, since it uses less digits than its factorization.

5013434130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5013434130 is about 70805.6080406065. The cubic root of 5013434130 is about 1711.5060464009.

Adding to 5013434130 its reverse (314343105), we get a palindrome (5327777235).

The spelling of 5013434130 in words is "five billion, thirteen million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 733 1466 2199 3665 4398 7330 10995 12461 13411 21990 24922 26822 37383 40233 62305 67055 74766 80466 124610 134110 186915 201165 227987 373830 402330 455974 683961 1139935 1367922 2279870 3419805 6839610 9830263 19660526 29490789 49151315 58981578 98302630 147453945 167114471 294907890 334228942 501343413 835572355 1002686826 1671144710 2506717065 5013434130