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12034434300 = 22352721748157
BaseRepresentation
bin10110011010100111…
…01110010011111100
31011001200220121022220
423031103232103330
5144121303344200
65310055405340
7604140001200
oct131523562374
934050817286
1012034434300
115116140679
1223ba383850
13119a32cc55
14822422b00
154a67c34a0
hex2cd4ee4fc

12034434300 has 216 divisors, whose sum is σ = 42887973744. Its totient is φ = 2588866560.

The previous prime is 12034434299. The next prime is 12034434311. The reversal of 12034434300 is 343443021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225822 + ... + 273978.

It is an arithmetic number, because the mean of its divisors is an integer number (198555434).

Almost surely, 212034434300 is an apocalyptic number.

12034434300 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 12034434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443986872).

12034434300 is an abundant number, since it is smaller than the sum of its proper divisors (30853539444).

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

12034434300 is a wasteful number, since it uses less digits than its factorization.

12034434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48205 (or 48191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12034434300 its reverse (343443021), we get a palindrome (12377877321).

The spelling of 12034434300 in words is "twelve billion, thirty-four million, four hundred thirty-four thousand, three hundred".