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211143202341112 = 232914923326214823
BaseRepresentation
bin110000000000100010011011…
…100100101000000011111000
31000200121002111210202101210101
4300000202123210220003320
5210133332234244403422
62025021503104125144
762321410246360666
oct6000423344500370
91020532453671711
10211143202341112
11613053692586a8
121b820b733067b4
1390a7945853202
143a1d557c21c36
1519624bc67bc27
hexc0089b9280f8

211143202341112 has 64 divisors (see below), whose sum is σ = 414063145080000. Its totient is φ = 100812558357504.

The previous prime is 211143202341109. The next prime is 211143202341209.

211143202341112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5053068 + ... + 21161755.

It is an arithmetic number, because the mean of its divisors is an integer number (6469736641875).

Almost surely, 2211143202341112 is an apocalyptic number.

It is an amenable number.

211143202341112 is a deficient number, since it is larger than the sum of its proper divisors (202919942738888).

211143202341112 is a wasteful number, since it uses less digits than its factorization.

211143202341112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26215240 (or 26215236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 21114320 and 2341112, that added together give a palindrome (23455432).

The spelling of 211143202341112 in words is "two hundred eleven trillion, one hundred forty-three billion, two hundred two million, three hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 29 58 116 149 232 233 298 466 596 932 1192 1864 4321 6757 8642 13514 17284 27028 34568 34717 54056 69434 138868 277736 1006793 2013586 4027172 8054344 26214823 52429646 104859292 209718584 760229867 1520459734 3040919468 3906008627 6081838936 6108053759 7812017254 12216107518 15624034508 24432215036 31248069016 48864430072 113274250183 177133559011 226548500366 354267118022 453097000732 708534236044 906194001464 910100010091 1417068472088 1820200020182 3640400040364 7280800080728 26392900292639 52785800585278 105571601170556 211143202341112