Search a number
-
+
5005103301 = 3211232975797
BaseRepresentation
bin1001010100101001…
…11101000011000101
3110220210222120222100
410222110331003011
540222301301201
62144352422313
7235013450622
oct45224750305
913823876870
105005103301
112139283210
12b78247999
13619c276b3
14356a2d349
151e4613886
hex12a53d0c5

5005103301 has 48 divisors (see below), whose sum is σ = 8513631360. Its totient is φ = 2801420160.

The previous prime is 5005103231. The next prime is 5005103303. The reversal of 5005103301 is 1033015005.

It is a happy number.

It is not a de Polignac number, because 5005103301 - 215 = 5005070533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005103303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28135 + ... + 103931.

It is an arithmetic number, because the mean of its divisors is an integer number (177367320).

Almost surely, 25005103301 is an apocalyptic number.

It is an amenable number.

5005103301 is a deficient number, since it is larger than the sum of its proper divisors (3508528059).

5005103301 is a wasteful number, since it uses less digits than its factorization.

5005103301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75866 (or 75863 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 5005103301 is about 70746.7547029544. The cubic root of 5005103301 is about 1710.5575169902.

Adding to 5005103301 its reverse (1033015005), we get a palindrome (6038118306).

The spelling of 5005103301 in words is "five billion, five million, one hundred three thousand, three hundred one".

Divisors: 1 3 9 11 23 29 33 69 87 99 207 253 261 319 667 759 957 2001 2277 2871 6003 7337 22011 66033 75797 227391 682173 833767 1743331 2198113 2501301 5229993 6594339 7503903 15689979 19176641 19783017 24179243 50556599 57529923 72537729 151669797 172589769 217613187 455009391 556122589 1668367767 5005103301