Search a number
-
+
301334203134042 = 231317213367678251
BaseRepresentation
bin100010010000011111101011…
…0001000101111000001011010
31110111221021020201112021102120
41010200333112020233001122
5303444024422000242132
62544515004415442110
7120320451315133431
oct10440772610570132
91414837221467376
10301334203134042
11880181329a2541
1229968706b26336
13cc1a9025c96c0
14545a92073a118
1524c85da3ab02c
hex1120fd622f05a

301334203134042 has 48 divisors (see below), whose sum is σ = 689451373525152. Its totient is φ = 87264203616000.

The previous prime is 301334203133993. The next prime is 301334203134073. The reversal of 301334203134042 is 240431302433103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 301334203133994 and 301334203134012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6683816584 + ... + 6683861667.

It is an arithmetic number, because the mean of its divisors is an integer number (14363570281774).

Almost surely, 2301334203134042 is an apocalyptic number.

301334203134042 is an abundant number, since it is smaller than the sum of its proper divisors (388117170391110).

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

301334203134042 is a wasteful number, since it uses less digits than its factorization.

301334203134042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367678303 (or 13367678286 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 301334203134042 its reverse (240431302433103), we get a palindrome (541765505567145).

The spelling of 301334203134042 in words is "three hundred one trillion, three hundred thirty-four billion, two hundred three million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 3757 7514 11271 22542 13367678251 26735356502 40103034753 80206069506 173779817263 227250530267 347559634526 454501060534 521339451789 681751590801 1042678903578 1363503181602 2954256893471 3863259014539 5908513786942 7726518029078 8862770680413 11589777043617 17725541360826 23179554087234 50222367189007 100444734378014 150667101567021 301334203134042