Search a number
-
+
201011112100200 = 233521917632553693
BaseRepresentation
bin101101101101000110001011…
…111011101100000101101000
3222100201110211000102122212010
4231231012023323230011220
5202321331224144201300
61551303121410515520
760224400513336243
oct5555061373540550
9870643730378763
10201011112100200
1159059374482626
121a665372895ba0
13882136077132c
14378cdbdb9c25a
151838b61139a50
hexb6d18beec168

201011112100200 has 96 divisors (see below), whose sum is σ = 655930997416800. Its totient is φ = 50781754632960.

The previous prime is 201011112100199. The next prime is 201011112100229. The reversal of 201011112100200 is 2001211110102.

201011112100200 is digitally balanced in base 3, 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8816265447 + ... + 8816288246.

It is an arithmetic number, because the mean of its divisors is an integer number (6832614556425).

Almost surely, 2201011112100200 is an apocalyptic number.

201011112100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011112100200 is an abundant number, since it is smaller than the sum of its proper divisors (454919885316600).

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

201011112100200 is a wasteful number, since it uses less digits than its factorization.

201011112100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632553731 (or 17632553722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201011112100200 its reverse (2001211110102), we get a palindrome (203012323210302).

The spelling of 201011112100200 in words is "two hundred one trillion, eleven billion, one hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 17632553693 35265107386 52897661079 70530214772 88162768465 105795322158 141060429544 176325536930 211590644316 264488305395 335018520167 352651073860 423181288632 440813842325 528976610790 670037040334 705302147720 881627684650 1005055560501 1057953221580 1322441526975 1340074080668 1675092600835 1763255369300 2010111121002 2115906443160 2644883053950 2680148161336 3350185201670 3526510738600 4020222242004 5025277802505 5289766107900 6700370403340 8040444484008 8375463004175 10050555605010 10579532215800 13400740806680 16750926008350 20101111210020 25126389012525 33501852016700 40202222420040 50252778025050 67003704033400 100505556050100 201011112100200