Search a number
-
+
301321132320131 = 71137019910570697
BaseRepresentation
bin100010010000011001100101…
…1000011100010010110000011
31110111220000111210111010112122
41010200303023003202112003
5303443321134333221011
62544505003414514455
7120316506362062310
oct10440631303422603
91414800453433478
10301321132320131
11880126358505a0
1229966079665a2b
13cc195cb6628a1
14545a040819d07
1524c80c2b1c3db
hex1120ccb0e2583

301321132320131 has 16 divisors (see below), whose sum is σ = 375674150361600. Its totient is φ = 234795031068480.

The previous prime is 301321132320119. The next prime is 301321132320149. The reversal of 301321132320131 is 131023231123103.

It is a cyclic number.

It is not a de Polignac number, because 301321132320131 - 218 = 301321132057987 is a prime.

It is a super-3 number, since 3×3013211323201313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 301321132320131.

It is not an unprimeable number, because it can be changed into a prime (301321132322131) by changing a digit.

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, 23219975 + ... + 33790671.

It is an arithmetic number, because the mean of its divisors is an integer number (23479634397600).

Almost surely, 2301321132320131 is an apocalyptic number.

301321132320131 is a deficient number, since it is larger than the sum of its proper divisors (74353018041469).

301321132320131 is a wasteful number, since it uses less digits than its factorization.

301321132320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940914.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 301321132320131 its reverse (131023231123103), we get a palindrome (432344363443234).

The spelling of 301321132320131 in words is "three hundred one trillion, three hundred twenty-one billion, one hundred thirty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 11 77 370199 2591393 4072189 10570697 28505323 73994879 116277667 813943669 3913261458703 27392830210921 43045876045733 301321132320131