Search a number
-
+
300310231330122 = 231329471109282001
BaseRepresentation
bin100010001001000010110110…
…0101010010010110101001010
31110101022101012100221000222220
41010102011230222102311022
5303330240323210030442
62542412340554154510
7120153461326330266
oct10422055452226512
91411271170830886
10300310231330122
1187762943572552
1229822174a22a36
13cb75196b27700
1454231427170a6
1524abb59372eec
hex111216ca92d4a

300310231330122 has 96 divisors (see below), whose sum is σ = 651652161773760. Its totient is φ = 92222013312000.

The previous prime is 300310231330093. The next prime is 300310231330129. The reversal of 300310231330122 is 221033132013003.

It is a junction number, because it is equal to n+sod(n) for n = 300310231330092 and 300310231330101.

It is not an unprimeable number, because it can be changed into a prime (300310231330129) 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, 1064785122 + ... + 1065067122.

It is an arithmetic number, because the mean of its divisors is an integer number (6788043351810).

Almost surely, 2300310231330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300310231330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325826080886880).

300310231330122 is an abundant number, since it is smaller than the sum of its proper divisors (351341930443638).

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

300310231330122 is a wasteful number, since it uses less digits than its factorization.

300310231330122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284088 (or 284075 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 300310231330122 its reverse (221033132013003), we get a palindrome (521343363343125).

The spelling of 300310231330122 in words is "three hundred trillion, three hundred ten billion, two hundred thirty-one million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 947 1014 1109 1894 2218 2841 3327 5682 6654 12311 14417 24622 28834 36933 43251 73866 86502 160043 187421 282001 320086 374842 480129 562263 564002 846003 960258 1050223 1124526 1692006 2100446 3150669 3666013 6301338 7332026 10998039 13652899 21996078 27305798 40958697 47658169 81917394 95316338 142974507 177487687 267054947 285949014 312739109 354975374 532463061 534109894 625478218 801164841 938217327 1064926122 1602329682 1876434654 3471714311 4065608417 6943428622 8131216834 10415142933 12196825251 20830285866 24393650502 45132286043 52852909421 90264572086 105705818842 135396858129 158558728263 270793716258 296163936223 317117456526 592327872446 888491808669 1776983617338 3850131170899 7700262341798 11550393512697 23100787025394 50051705221687 100103410443374 150155115665061 300310231330122