Search a number
-
+
12033300003300 = 223552670373877
BaseRepresentation
bin1010111100011011100010…
…0100100111100111100100
31120121101001100220112200000
42233012320210213213210
53034123144300101200
641332004404421300
72351243251246152
oct257067044474744
946541040815600
1012033300003300
11391a326165194
1214241739a7830
13693973668654
142d85b44043d2
1515d0315ed300
hexaf1b89279e4

12033300003300 has 216 divisors, whose sum is σ = 39121027510656. Its totient is φ = 3208357848960.

The previous prime is 12033300003293. The next prime is 12033300003367. The reversal of 12033300003300 is 330000333021.

12033300003300 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 330 + 0 + 0 + 0 + 330 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 162845962 + ... + 162919838.

Almost surely, 212033300003300 is an apocalyptic number.

12033300003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033300003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560513755328).

12033300003300 is an abundant number, since it is smaller than the sum of its proper divisors (27087727507356).

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

12033300003300 is a wasteful number, since it uses less digits than its factorization.

12033300003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80609 (or 80590 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 12033300003300 its reverse (330000333021), we get a palindrome (12363300336321).

The spelling of 12033300003300 in words is "twelve trillion, thirty-three billion, three hundred million, three thousand, three hundred".