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12001231022100 = 22352109367010123
BaseRepresentation
bin1010111010100100000100…
…0111001010100000010100
31120111022021102110111122120
42232221001013022200110
53033112010120201400
641305142303055540
72346026456354145
oct256510107124024
946438242414576
1012001231022100
11390776a049a41
121419b03ba15b0
13690932756328
142d6c112a5acc
1515c2a6037ca0
hexaea411ca814

12001231022100 has 72 divisors (see below), whose sum is σ = 35042126639520. Its totient is φ = 3170967454080.

The previous prime is 12001231022047. The next prime is 12001231022107. The reversal of 12001231022100 is 122013210021.

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 12001231022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001231022107) 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, 183472362 + ... + 183537761.

Almost surely, 212001231022100 is an apocalyptic number.

12001231022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001231022100 is an abundant number, since it is smaller than the sum of its proper divisors (23040895617420).

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

12001231022100 is a wasteful number, since it uses less digits than its factorization.

12001231022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367010249 (or 367010242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12001231022100 its reverse (122013210021), we get a palindrome (12123244232121).

The spelling of 12001231022100 in words is "twelve trillion, one billion, two hundred thirty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1308 1635 2180 2725 3270 5450 6540 8175 10900 16350 32700 367010123 734020246 1101030369 1468040492 1835050615 2202060738 3670101230 4404121476 5505151845 7340202460 9175253075 11010303690 18350506150 22020607380 27525759225 36701012300 40004103407 55051518450 80008206814 110103036900 120012310221 160016413628 200020517035 240024620442 400041034070 480049240884 600061551105 800082068140 1000102585175 1200123102210 2000205170350 2400246204420 3000307755525 4000410340700 6000615511050 12001231022100