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12023202300 = 22352148127061
BaseRepresentation
bin10110011001010001…
…11000000111111100
31011000220202221220220
423030220320013330
5144110414433200
65305014541340
7603642350634
oct131450700774
934026687826
1012023202300
11510a86992a
1223b6667850
131197bc96b5
14820b3b6c4
154a58054a0
hex2cca381fc

12023202300 has 72 divisors (see below), whose sum is σ = 34811907312. Its totient is φ = 3203904000.

The previous prime is 12023202293. The next prime is 12023202313. The reversal of 12023202300 is 320232021.

12023202300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12023202300.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 430770 + ... + 457830.

Almost surely, 212023202300 is an apocalyptic number.

12023202300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023202300 is an abundant number, since it is smaller than the sum of its proper divisors (22788705012).

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

12023202300 is a wasteful number, since it uses less digits than its factorization.

12023202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28559 (or 28552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12023202300 its reverse (320232021), we get a palindrome (12343434321).

The spelling of 12023202300 in words is "twelve billion, twenty-three million, two hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1481 2962 4443 5924 7405 8886 14810 17772 22215 27061 29620 37025 44430 54122 74050 81183 88860 108244 111075 135305 148100 162366 222150 270610 324732 405915 444300 541220 676525 811830 1353050 1623660 2029575 2706100 4059150 8118300 40077341 80154682 120232023 160309364 200386705 240464046 400773410 480928092 601160115 801546820 1001933525 1202320230 2003867050 2404640460 3005800575 4007734100 6011601150 12023202300