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12032010300 = 22352192110879
BaseRepresentation
bin10110011010010100…
…11110100000111100
31011001112100110020010
423031022132200330
5144120143312200
65305531423220
7604110254142
oct131512364074
934045313203
1012032010300
115114835472
1223b95b4b10
13119999182b
14821d91592
154a6495150
hex2cd29e83c

12032010300 has 72 divisors (see below), whose sum is σ = 36644876800. Its totient is φ = 3039664320.

The previous prime is 12032010283. The next prime is 12032010301. The reversal of 12032010300 is 301023021.

It is a happy number.

12032010300 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032010301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1049740 + ... + 1061139.

Almost surely, 212032010300 is an apocalyptic number.

12032010300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032010300 is an abundant number, since it is smaller than the sum of its proper divisors (24612866500).

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

12032010300 is a wasteful number, since it uses less digits than its factorization.

12032010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110915 (or 2110908 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12032010300 its reverse (301023021), we get a palindrome (12333033321).

The spelling of 12032010300 in words is "twelve billion, thirty-two million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 2110879 4221758 6332637 8443516 10554395 12665274 21108790 25330548 31663185 40106701 42217580 52771975 63326370 80213402 105543950 120320103 126652740 158315925 160426804 200533505 211087900 240640206 316631850 401067010 481280412 601600515 633263700 802134020 1002667525 1203201030 2005335050 2406402060 3008002575 4010670100 6016005150 12032010300