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12303232211100 = 22352383131981181
BaseRepresentation
bin1011001100001001000111…
…0010010001100010011100
31121120011210101222110121210
42303002101302101202130
53103034004421223400
642100005444424420
72406610364203005
oct263022162214234
947504711873553
1012303232211100
113a13853925146
1214685476a8110
136b326105752c
143076a00d21ac
1516507e241950
hexb3091c9189c

12303232211100 has 144 divisors (see below), whose sum is σ = 35717793914880. Its totient is φ = 3269774534400.

The previous prime is 12303232211063. The next prime is 12303232211119. The reversal of 12303232211100 is 111223230321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151512510 + ... + 151593690.

It is an arithmetic number, because the mean of its divisors is an integer number (248040235520).

Almost surely, 212303232211100 is an apocalyptic number.

12303232211100 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 12303232211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858896957440).

12303232211100 is an abundant number, since it is smaller than the sum of its proper divisors (23414561703780).

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

12303232211100 is a wasteful number, since it uses less digits than its factorization.

12303232211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82900 (or 82893 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12303232211100 its reverse (111223230321), we get a palindrome (12414455441421).

The spelling of 12303232211100 in words is "twelve trillion, three hundred three billion, two hundred thirty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 383 766 1149 1319 1532 1915 2298 2638 3830 3957 4596 5276 5745 6595 7660 7914 9575 11490 13190 15828 19150 19785 22980 26380 28725 32975 38300 39570 57450 65950 79140 81181 98925 114900 131900 162362 197850 243543 324724 395700 405905 487086 505177 811810 974172 1010354 1217715 1515531 1623620 2020708 2029525 2435430 2525885 3031062 4059050 4870860 5051770 6062124 6088575 7577655 8118100 10103540 12177150 12629425 15155310 24354300 25258850 30310620 31092323 37888275 50517700 62184646 75776550 93276969 107077739 124369292 151553100 155461615 186553938 214155478 310923230 321233217 373107876 428310956 466384845 535388695 621846460 642466434 777308075 932769690 1070777390 1284932868 1554616150 1606166085 1865539380 2141554780 2331924225 2676943475 3109232300 3212332170 4663848450 5353886950 6424664340 8030830425 9327696900 10707773900 16061660850 32123321700 41010774037 82021548074 123032322111 164043096148 205053870185 246064644222 410107740370 492129288444 615161610555 820215480740 1025269350925 1230323221110 2050538701850 2460646442220 3075808052775 4101077403700 6151616105550 12303232211100