Search a number
-
+
300310330242 = 231397132130047
BaseRepresentation
bin1000101111010111110…
…00111111101110000010
31001201011010212102210210
410113223320333232002
514410013421031432
6345543300334550
730460653455256
oct4275370775602
91051133772723
10300310330242
111063a7396a7a
124a2513a4456
132241c205680
141076c444266
157c29a5d8cc
hex45ebe3fb82

300310330242 has 64 divisors (see below), whose sum is σ = 654006979584. Its totient is φ = 91378298880.

The previous prime is 300310330211. The next prime is 300310330259. The reversal of 300310330242 is 242033013003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9979663 + ... + 10009709.

It is an arithmetic number, because the mean of its divisors is an integer number (10218859056).

Almost surely, 2300310330242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300310330242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327003489792).

300310330242 is an abundant number, since it is smaller than the sum of its proper divisors (353696649342).

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

300310330242 is a wasteful number, since it uses less digits than its factorization.

300310330242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31483.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 300310330242 its reverse (242033013003), we get a palindrome (542343343245).

The spelling of 300310330242 in words is "three hundred billion, three hundred ten million, three hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 97 194 291 582 1261 1321 2522 2642 3783 3963 7566 7926 17173 30047 34346 51519 60094 90141 103038 128137 180282 256274 384411 390611 768822 781222 1171833 1665781 2343666 2914559 3331562 4997343 5829118 8743677 9994686 17487354 37889267 39692087 75778534 79384174 113667801 119076261 227335602 238152522 515997131 1031994262 1547991393 3095982786 3850132439 7700264878 11550397317 23100794634 50051721707 100103443414 150155165121 300310330242