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201000122110112 = 251310121122672487
BaseRepresentation
bin101101101100111011111100…
…111000001101000010100000
3222100200102110002211022122012
4231230323330320031002200
5202321141222230010422
61551254103101132052
760223531255063643
oct5554737470150240
9870612402738565
10201000122110112
1159054744961396
121a66320625a028
1388202cb93cc10
14378c65a375a5a
15183871b3c64e2
hexb6cefce0d0a0

201000122110112 has 96 divisors (see below), whose sum is σ = 432418034611584. Its totient is φ = 91415463552000.

The previous prime is 201000122110069. The next prime is 201000122110129. The reversal of 201000122110112 is 211011221000102.

201000122110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470868 + ... + 20201619.

It is an arithmetic number, because the mean of its divisors is an integer number (4504354527204).

Almost surely, 2201000122110112 is an apocalyptic number.

It is an amenable number.

201000122110112 is an abundant number, since it is smaller than the sum of its proper divisors (231417912501472).

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

201000122110112 is a wasteful number, since it uses less digits than its factorization.

201000122110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22672822 (or 22672814 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201000122110112 its reverse (211011221000102), we get a palindrome (412011343110214).

The spelling of 201000122110112 in words is "two hundred one trillion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 211 404 416 422 808 844 1313 1616 1688 2626 2743 3232 3376 5252 5486 6752 10504 10972 21008 21311 21944 42016 42622 43888 85244 87776 170488 277043 340976 554086 681952 1108172 2216344 4432688 8865376 22672487 45344974 90689948 181379896 294742331 362759792 589484662 725519584 1178969324 2289921187 2357938648 4579842374 4715877296 4783894757 9159684748 9431754592 9567789514 18319369496 19135579028 29768975431 36638738992 38271158056 59537950862 62190631841 73277477984 76542316112 119075901724 124381263682 153084632224 238151803448 248762527364 476303606896 483173370457 497525054728 952607213792 966346740914 995050109456 1932693481828 1990100218912 3865386963656 6281253815941 7730773927312 12562507631882 15461547854624 25125015263764 50250030527528 100500061055056 201000122110112