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200201112112001 = 711135922714933257
BaseRepresentation
bin101101100001010011110100…
…001010111100101110000001
3222020212001001201112212221012
4231201103310022330232001
5202220043334200041001
61545443042104010305
760112024122131540
oct5541236412745601
9866761051485835
10200201112112001
11588768a6611780
121a554397460995
138792b64b0c9a0
143761add6b8157
151822a54e8d2bb
hexb614f42bcb81

200201112112001 has 64 divisors (see below), whose sum is σ = 274561686927360. Its totient is φ = 140936486146560.

The previous prime is 200201112111937. The next prime is 200201112112033. The reversal of 200201112112001 is 100211211102002.

It is not a de Polignac number, because 200201112112001 - 26 = 200201112111937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200201112112051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5939765 + ... + 20873021.

It is an arithmetic number, because the mean of its divisors is an integer number (4290026358240).

Almost surely, 2200201112112001 is an apocalyptic number.

It is an amenable number.

200201112112001 is a deficient number, since it is larger than the sum of its proper divisors (74360574815359).

200201112112001 is a wasteful number, since it uses less digits than its factorization.

200201112112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14933574.

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

Adding to 200201112112001 its reverse (100211211102002), we get a palindrome (300412323214003).

The spelling of 200201112112001 in words is "two hundred trillion, two hundred one billion, one hundred twelve million, one hundred twelve thousand, one".

Divisors: 1 7 11 13 59 77 91 143 227 413 649 767 1001 1589 2497 2951 4543 5369 8437 13393 17479 20657 32461 59059 93751 147323 174109 227227 1031261 1218763 1915199 13406393 14933257 104532799 164265827 194132341 881062163 1149860789 1358926387 2135455751 3389849339 6167435141 9691683793 11453808119 14948190257 23728945373 37288342729 44068041407 67841786551 80176656833 125991889309 200001111001 261018399103 308476289849 484748455477 881943225163 1400007777007 2200012221011 2600014443013 3393239188339 15400085547077 18200101101091 28600158873143 200201112112001