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5032103024 = 2413233133931
BaseRepresentation
bin1001010111110111…
…11100110001110000
3110222200210022122002
410223323330301300
540301204244044
62151155233132
7235462112204
oct45373746160
913880708562
105032103024
112152544533
12b852a87a8
136226bbb70
1435a45ab04
151e6b9874e
hex12befcc70

5032103024 has 80 divisors (see below), whose sum is σ = 11309942784. Its totient is φ = 2149804800.

The previous prime is 5032103017. The next prime is 5032103033. The reversal of 5032103024 is 4203012305.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5032102987 and 5032103005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131339 + ... + 165269.

Almost surely, 25032103024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5032103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654971392).

5032103024 is an abundant number, since it is smaller than the sum of its proper divisors (6277839760).

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

5032103024 is a wasteful number, since it uses less digits than its factorization.

5032103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34006 (or 34000 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5032103024 is about 70937.3175698095. The cubic root of 5032103024 is about 1713.6278352718.

Adding to 5032103024 its reverse (4203012305), we get a palindrome (9235115329).

The spelling of 5032103024 in words is "five billion, thirty-two million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 23 26 31 46 52 62 92 104 124 184 208 248 299 368 403 496 598 713 806 1196 1426 1612 2392 2852 3224 4784 5704 6448 9269 11408 18538 33931 37076 67862 74152 135724 148304 271448 441103 542896 780413 882206 1051861 1560826 1764412 2103722 3121652 3528824 4207444 6243304 7057648 8414888 10145369 12486608 13674193 16829776 20290738 24192803 27348386 40581476 48385606 54696772 81162952 96771212 109393544 162325904 193542424 218787088 314506439 387084848 629012878 1258025756 2516051512 5032103024