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5113131400 = 2352131966589
BaseRepresentation
bin1001100001100010…
…00011000110001000
3111012100020222200001
410300301003012020
540432430201100
62203212052344
7240464620426
oct46061030610
914170228601
105113131400
112194258333
12ba84640b4
1363641c350
14367110116
151edd51d6a
hex130c43188

5113131400 has 48 divisors (see below), whose sum is σ = 12802500900. Its totient is φ = 1887924480.

The previous prime is 5113131389. The next prime is 5113131431. The reversal of 5113131400 is 41313115.

It can be written as a sum of positive squares in 6 ways, for example, as 92275236 + 5020856164 = 9606^2 + 70858^2 .

It is a super-2 number, since 2×51131314002 = 52288225427331920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980695 + ... + 985894.

Almost surely, 25113131400 is an apocalyptic number.

5113131400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5113131400 is an abundant number, since it is smaller than the sum of its proper divisors (7689369500).

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

5113131400 is a wasteful number, since it uses less digits than its factorization.

5113131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966618 (or 1966609 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5113131400 is about 71506.1633707193. The cubic root of 5113131400 is about 1722.7766805508.

Adding to 5113131400 its reverse (41313115), we get a palindrome (5154444515).

The spelling of 5113131400 in words is "five billion, one hundred thirteen million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 1966589 3933178 7866356 9832945 15732712 19665890 25565657 39331780 49164725 51131314 78663560 98329450 102262628 127828285 196658900 204525256 255656570 393317800 511313140 639141425 1022626280 1278282850 2556565700 5113131400