Search a number
-
+
300232113012 = 223213641521609
BaseRepresentation
bin1000101111001110011…
…10100111101101110100
31001200221200200120221100
410113213032213231310
514404333410104022
6345531424050100
730456013565556
oct4274716475564
91050850616840
10300232113012
11106367223237
124a22b163930
1322408c4a8a0
1410761cc34d6
157c22c5d1ac
hex45e73a7b74

300232113012 has 36 divisors (see below), whose sum is σ = 817298531140. Its totient is φ = 92379111552.

The previous prime is 300232112969. The next prime is 300232113017. The reversal of 300232113012 is 210311232003.

300232113012 is a `hidden beast` number, since 300 + 2 + 321 + 1 + 30 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33722180496 + 266509932516 = 183636^2 + 516246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300232113017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 320760337 + ... + 320761272.

Almost surely, 2300232113012 is an apocalyptic number.

It is an amenable number.

300232113012 is an abundant number, since it is smaller than the sum of its proper divisors (517066418128).

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

300232113012 is a wasteful number, since it uses less digits than its factorization.

300232113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641521632 (or 641521627 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300232113012 its reverse (210311232003), we get a palindrome (510543345015).

The spelling of 300232113012 in words is "three hundred billion, two hundred thirty-two million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 641521609 1283043218 1924564827 2566086436 3849129654 5773694481 7698259308 8339780917 11547388962 16679561834 23094777924 25019342751 33359123668 50038685502 75058028253 100077371004 150116056506 300232113012