Search a number
-
+
2300301310332 = 2231131696387397
BaseRepresentation
bin100001011110010100101…
…001000111100101111100
322010220110221202000210010
4201132110221013211330
5300142004113412312
64520424400143220
7325122416345244
oct41362451074574
98126427660703
102300301310332
11807609136a93
12311992307b10
13138bc092c2cc
147d499a26b24
153ec81d5893c
hex21794a4797c

2300301310332 has 24 divisors (see below), whose sum is σ = 5414868574416. Its totient is φ = 759981553408.

The previous prime is 2300301310319. The next prime is 2300301310339. The reversal of 2300301310332 is 2330131030032.

2300301310332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23003013103322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300301310299 and 2300301310308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300301310339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848192343 + ... + 848195054.

It is an arithmetic number, because the mean of its divisors is an integer number (225619523934).

Almost surely, 22300301310332 is an apocalyptic number.

It is an amenable number.

2300301310332 is an abundant number, since it is smaller than the sum of its proper divisors (3114567264084).

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

2300301310332 is a wasteful number, since it uses less digits than its factorization.

2300301310332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696387517 (or 1696387515 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2300301310332 its reverse (2330131030032), we get a palindrome (4630432340364).

The spelling of 2300301310332 in words is "two trillion, three hundred billion, three hundred one million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 1696387397 3392774794 5089162191 6785549588 10178324382 20356648764 191691775861 383383551722 575075327583 766767103444 1150150655166 2300301310332