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201110021212112 = 242322313121186773
BaseRepresentation
bin101101101110100010010011…
…011000000000011111010000
3222101001221010011101010222022
4231232202103120000133100
5202324441310412241422
61551420400204231012
760234501543042065
oct5556422330003720
9871057104333868
10201110021212112
1159097310057321
121a68057723b468
13882a79427065c
143793ac3db2c6c
15183b4ee6dd342
hexb6e8936007d0

201110021212112 has 80 divisors (see below), whose sum is σ = 408448595616768. Its totient is φ = 95743929262080.

The previous prime is 201110021212109. The next prime is 201110021212151. The reversal of 201110021212112 is 211212120011102.

201110021212112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2011100212121122 (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 15 ways as a sum of consecutive naturals, for example, 1076668358 + ... + 1076855130.

Almost surely, 2201110021212112 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 201110021212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204224297808384).

201110021212112 is an abundant number, since it is smaller than the sum of its proper divisors (207338574404656).

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

201110021212112 is a wasteful number, since it uses less digits than its factorization.

201110021212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200148 (or 200142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201110021212112 its reverse (211212120011102), we get a palindrome (412322141223214).

The spelling of 201110021212112 in words is "two hundred one trillion, one hundred ten billion, twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 223 368 446 892 1784 3568 5129 10258 13121 20516 26242 41032 52484 82064 104968 186773 209936 301783 373546 603566 747092 1207132 1494184 2414264 2925983 2988368 4295779 4828528 5851966 8591558 11703932 17183116 23407864 34366232 41650379 46815728 67297609 68732464 83300758 134595218 166601516 269190436 333203032 538380872 666406064 957958717 1076761744 1915917434 2450648533 3831834868 4901297066 7663669736 9802594132 15327339472 19605188264 39210376528 56364916259 112729832518 225459665036 450919330072 546494622859 901838660144 1092989245718 2185978491436 4371956982872 8743913965744 12569376325757 25138752651514 50277505303028 100555010606056 201110021212112