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12043344100 = 2252412937401
BaseRepresentation
bin10110011011101011…
…01101100011100100
31011002022200021021111
423031311231203210
5144131044002400
65311014354404
7604305510244
oct131565554344
934068607244
1012043344100
115120176747
12240135ba04
13119c12c518
148236a1b24
154a74833ba
hex2cdd6d8e4

12043344100 has 36 divisors (see below), whose sum is σ = 26771481828. Its totient is φ = 4699840000.

The previous prime is 12043344031. The next prime is 12043344107. The reversal of 12043344100 is 144334021.

It can be written as a sum of positive squares in 6 ways, for example, as 1072038564 + 10971305536 = 32742^2 + 104744^2 .

It is a super-2 number, since 2×120433441002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12043344107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1464601 + ... + 1472800.

It is an arithmetic number, because the mean of its divisors is an integer number (743652273).

Almost surely, 212043344100 is an apocalyptic number.

12043344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12043344100 is an abundant number, since it is smaller than the sum of its proper divisors (14728137728).

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

12043344100 is a wasteful number, since it uses less digits than its factorization.

12043344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937456 (or 2937449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12043344100 its reverse (144334021), we get a palindrome (12187678121).

The spelling of 12043344100 in words is "twelve billion, forty-three million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 2937401 5874802 11749604 14687005 29374010 58748020 73435025 120433441 146870050 240866882 293740100 481733764 602167205 1204334410 2408668820 3010836025 6021672050 12043344100