Search a number
-
+
12033130200 = 23352713733019
BaseRepresentation
bin10110011010011101…
…01111111011011000
31011001121110100102220
423031032233323120
5144120440131300
65310011424040
7604122630150
oct131516577330
934047410386
1012033130200
11511542a903
1223b9a55020
131199c944b0
148221a3760
154a6616da0
hex2cd3afed8

12033130200 has 384 divisors, whose sum is σ = 46555353600. Its totient is φ = 2503249920.

The previous prime is 12033130177. The next prime is 12033130201. The reversal of 12033130200 is 203133021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12033130200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033130201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3984291 + ... + 3987309.

It is an arithmetic number, because the mean of its divisors is an integer number (121237900).

Almost surely, 212033130200 is an apocalyptic number.

12033130200 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 12033130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23277676800).

12033130200 is an abundant number, since it is smaller than the sum of its proper divisors (34522223400).

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

12033130200 is a wasteful number, since it uses less digits than its factorization.

12033130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12033130200 its reverse (203133021), we get a palindrome (12236263221).

The spelling of 12033130200 in words is "twelve billion, thirty-three million, one hundred thirty thousand, two hundred".