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201020222011112 = 23759612234472651
BaseRepresentation
bin101101101101001110101010…
…111011001111011011101000
3222100202100022220100002021222
4231231032222323033123220
5202322003403313323422
61551311225355521212
760225142332321260
oct5555165273173350
9870670286302258
10201020222011112
1159062219814519
121a667095759208
138822182c2526a
14378d605a247a0
151838ee5cc7842
hexb6d3aaecf6e8

201020222011112 has 128 divisors (see below), whose sum is σ = 447236575027200. Its totient is φ = 82929371616000.

The previous prime is 201020222011109. The next prime is 201020222011117. The reversal of 201020222011112 is 211110222020102.

It is not an unprimeable number, because it can be changed into a prime (201020222011117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42707987 + ... + 47180637.

It is an arithmetic number, because the mean of its divisors is an integer number (3494035742400).

Almost surely, 2201020222011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020222011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223618287513600).

201020222011112 is an abundant number, since it is smaller than the sum of its proper divisors (246216353016088).

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

201020222011112 is a wasteful number, since it uses less digits than its factorization.

201020222011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473007 (or 4473003 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201020222011112 its reverse (211110222020102), we get a palindrome (412130444031214).

The spelling of 201020222011112 in words is "two hundred one trillion, twenty billion, two hundred twenty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 59 61 118 122 223 236 244 413 427 446 472 488 826 854 892 1561 1652 1708 1784 3122 3304 3416 3599 6244 7198 12488 13157 13603 14396 25193 26314 27206 28792 50386 52628 54412 92099 95221 100772 105256 108824 184198 190442 201544 368396 380884 736792 761768 802577 1605154 3210308 4472651 5618039 6420616 8945302 11236078 17890604 22472156 31308557 35781208 44944312 62617114 125234228 250468456 263886409 272831711 527772818 545663422 997401173 1055545636 1091326844 1847204863 1909821977 1994802346 2111091272 2182653688 3694409726 3819643954 3989604692 6981808211 7388819452 7639287908 7979209384 13963616422 14777638904 15278575816 16097070949 27927232844 32194141898 55854465688 58846669207 60841471553 64388283796 112679496643 117693338414 121682943106 128776567592 225358993286 235386676828 243365886212 411926684449 425890300871 450717986572 470773353656 486731772424 823853368898 851780601742 901435973144 1647706737796 1703561203484 3295413475592 3407122406968 3589646821627 7179293643254 14358587286508 25127527751389 28717174573016 50255055502778 100510111005556 201020222011112