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12034305200 = 245230085763
BaseRepresentation
bin10110011010100110…
…01110110010110000
31011001200200001020102
423031103032302300
5144121240231300
65310052531532
7604135622621
oct131523166260
934050601212
1012034305200
115116062685
1223ba320ba8
13119a2b6268
148223cba48
154a679a0d5
hex2cd4cecb0

12034305200 has 30 divisors (see below), whose sum is σ = 28912419204. Its totient is φ = 4813721920.

The previous prime is 12034305149. The next prime is 12034305223. The reversal of 12034305200 is 250343021.

It is a happy number.

12034305200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15042482 + ... + 15043281.

Almost surely, 212034305200 is an apocalyptic number.

12034305200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12034305200 is an abundant number, since it is smaller than the sum of its proper divisors (16878114004).

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

12034305200 is a wasteful number, since it uses less digits than its factorization.

12034305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30085781 (or 30085770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 12034305200 its reverse (250343021), we get a palindrome (12284648221).

The spelling of 12034305200 in words is "twelve billion, thirty-four million, three hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30085763 60171526 120343052 150428815 240686104 300857630 481372208 601715260 752144075 1203430520 1504288150 2406861040 3008576300 6017152600 12034305200