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201002211111012 = 223234718185608191
BaseRepresentation
bin101101101100111101111001…
…011001000111000001100100
3222100200121211200122120010220
4231230331321121013001210
5202321210012021023022
61551255050243444340
760223634112230403
oct5554757131070144
9870617750576126
10201002211111012
1159055617067713
121a6636a99866b0
13882057267951c
14378c7b799b63a
1518387de9b985c
hexb6cf79647064

201002211111012 has 96 divisors (see below), whose sum is σ = 502570767089664. Its totient is φ = 62377551561600.

The previous prime is 201002211111011. The next prime is 201002211111017. The reversal of 201002211111012 is 210111112200102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201002211110982 and 201002211111000.

It is not an unprimeable number, because it can be changed into a prime (201002211111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40456164 + ... + 45152027.

It is an arithmetic number, because the mean of its divisors is an integer number (5235112157184).

Almost surely, 2201002211111012 is an apocalyptic number.

It is an amenable number.

201002211111012 is an abundant number, since it is smaller than the sum of its proper divisors (301568555978652).

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

201002211111012 is a wasteful number, since it uses less digits than its factorization.

201002211111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85608449 (or 85608447 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201002211111012 its reverse (210111112200102), we get a palindrome (411113323311114).

The spelling of 201002211111012 in words is "two hundred one trillion, two billion, two hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 181 188 276 282 362 543 564 724 1081 1086 2162 2172 3243 4163 4324 6486 8326 8507 12489 12972 16652 17014 24978 25521 34028 49956 51042 102084 195661 391322 586983 782644 1173966 2347932 85608191 171216382 256824573 342432764 513649146 1027298292 1968988393 3937976786 4023584977 5906965179 7875953572 8047169954 11813930358 12070754931 15495082571 16094339908 23627860716 24141509862 30990165142 46485247713 48283019724 61980330284 92542454471 92970495426 185084908942 185940990852 277627363413 356386899133 370169817884 555254726826 712773798266 728268880837 1069160697399 1110509453652 1425547596532 1456537761674 2138321394798 2184806642511 2913075523348 4276642789596 4369613285022 8739226570044 16750184259251 33500368518502 50250552777753 67000737037004 100501105555506 201002211111012