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201112200001000 = 23534310146307207
BaseRepresentation
bin101101101110100100010101…
…001111011011010111101000
3222101002010202000011002110001
4231232210111033123113220
5202330010241200013000
61551421400315232344
760234606540326221
oct5556442517332750
9871063660132401
10201112200001000
1159098228a096a2
121a680a84a486b4
13882aa50786552
143793c4d4cc248
15183b5cab1a46a
hexb6e9153db5e8

201112200001000 has 128 divisors (see below), whose sum is σ = 486314593839360. Its totient is φ = 77796106080000.

The previous prime is 201112200000949. The next prime is 201112200001049. The reversal of 201112200001000 is 100002211102.

It is a super-2 number, since 2×2011122000010002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18810604 + ... + 27496603.

It is an arithmetic number, because the mean of its divisors is an integer number (3799332764370).

Almost surely, 2201112200001000 is an apocalyptic number.

201112200001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112200001000 is an abundant number, since it is smaller than the sum of its proper divisors (285202393838360).

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

201112200001000 is a wasteful number, since it uses less digits than its factorization.

201112200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46307372 (or 46307358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201112200001000 its reverse (100002211102), we get a palindrome (201212202212102).

The spelling of 201112200001000 in words is "two hundred one trillion, one hundred twelve billion, two hundred million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 101 125 172 200 202 215 250 344 404 430 500 505 808 860 1000 1010 1075 1720 2020 2150 2525 4040 4300 4343 5050 5375 8600 8686 10100 10750 12625 17372 20200 21500 21715 25250 34744 43000 43430 50500 86860 101000 108575 173720 217150 434300 542875 868600 1085750 2171500 4343000 46307207 92614414 185228828 231536035 370457656 463072070 926144140 1157680175 1852288280 1991209901 2315360350 3982419802 4630720700 4677027907 5788400875 7964839604 9261441400 9354055814 9956049505 11576801750 15929679208 18708111628 19912099010 23153603500 23385139535 37416223256 39824198020 46307207000 46770279070 49780247525 79648396040 93540558140 99560495050 116925697675 187081116280 199120990100 201112200001 233851395350 248901237625 398241980200 402224400002 467702790700 497802475250 584628488375 804448800004 935405581400 995604950500 1005561000005 1169256976750 1608897600008 1991209901000 2011122000010 2338513953500 4022244000020 4677027907000 5027805000025 8044488000040 10055610000050 20111220000100 25139025000125 40222440000200 50278050000250 100556100000500 201112200001000