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5140310013 = 3231711171613
BaseRepresentation
bin1001100100110001…
…01110011111111101
3111021020101210201100
410302120232133331
541011404410023
62210022403313
7241244625366
oct46230563775
914236353640
105140310013
1121a8630aa3
12bb5590539
1363bc47077
1436a986b6d
1520141ec43
hex13262e7fd

5140310013 has 24 divisors (see below), whose sum is σ = 7459604568. Its totient is φ = 3410888832.

The previous prime is 5140310011. The next prime is 5140310023. The reversal of 5140310013 is 3100130415.

It can be written as a sum of positive squares in 4 ways, for example, as 55621764 + 5084688249 = 7458^2 + 71307^2 .

It is not a de Polignac number, because 5140310013 - 21 = 5140310011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140310011) 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, 3185995 + ... + 3187607.

It is an arithmetic number, because the mean of its divisors is an integer number (310816857).

Almost surely, 25140310013 is an apocalyptic number.

It is an amenable number.

5140310013 is a deficient number, since it is larger than the sum of its proper divisors (2319294555).

5140310013 is a wasteful number, since it uses less digits than its factorization.

5140310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5140310013 is about 71695.9553461700. The cubic root of 5140310013 is about 1725.8237346219.

Adding to 5140310013 its reverse (3100130415), we get a palindrome (8240440428).

It can be divided in two parts, 51403 and 10013, that added together give a palindrome (61416).

The spelling of 5140310013 in words is "five billion, one hundred forty million, three hundred ten thousand, thirteen".

Divisors: 1 3 9 317 951 1117 1613 2853 3351 4839 10053 14517 354089 511321 1062267 1533963 1801721 3186801 4601889 5405163 16215489 571145557 1713436671 5140310013