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211122202221112 = 23713290003025029
BaseRepresentation
bin110000000000001110110111…
…110111100001101000111000
31000200112002022021022202211011
4300000032313313201220320
5210133011232232033422
62025004111210443304
762320034661323230
oct6000166767415070
91020462267282734
10211122202221112
11612a7472233726
121b818a92433534
1390a5979bc88c0
143a1c524b9acc0
151961b8dc09077
hexc003b7de1a38

211122202221112 has 32 divisors (see below), whose sum is σ = 487205082050400. Its totient is φ = 83520871208064.

The previous prime is 211122202221101. The next prime is 211122202221187.

211122202221112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2111222022211122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145001511787 + ... + 145001513242.

It is an arithmetic number, because the mean of its divisors is an integer number (15225158814075).

Almost surely, 2211122202221112 is an apocalyptic number.

It is an amenable number.

211122202221112 is an abundant number, since it is smaller than the sum of its proper divisors (276082879829288).

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

211122202221112 is a wasteful number, since it uses less digits than its factorization.

211122202221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290003025055 (or 290003025051 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 21112220 and 2221112, that added together give a palindrome (23333332).

The spelling of 211122202221112 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 290003025029 580006050058 1160012100116 2030021175203 2320024200232 3770039325377 4060042350406 7540078650754 8120084700812 15080157301508 16240169401624 26390275277639 30160314603016 52780550555278 105561101110556 211122202221112