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2112200021112 = 233317179506147
BaseRepresentation
bin11110101111001000111…
…011101001010001111000
321110220221211222110221120
4132233020323221101320
5234101241201133422
64254155320505240
7305413166643156
oct36571073512170
97426854873846
102112200021112
11744862935365
122a143761b220
1312424479c3cc
1474333d183d6
1539e232e845c
hex1ebc8ee9478

2112200021112 has 128 divisors (see below), whose sum is σ = 5597591961600. Its totient is φ = 663253718400.

The previous prime is 2112200021101. The next prime is 2112200021117. The reversal of 2112200021112 is 2111200022112.

It is a super-2 number, since 2×21122000211122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112200021091 and 2112200021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112200021117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3920023 + ... + 4426169.

It is an arithmetic number, because the mean of its divisors is an integer number (43731187200).

Almost surely, 22112200021112 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 2112200021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798795980800).

2112200021112 is an abundant number, since it is smaller than the sum of its proper divisors (3485391940488).

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

2112200021112 is a wasteful number, since it uses less digits than its factorization.

2112200021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506337 (or 506333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112200021112 its reverse (2111200022112), we get a palindrome (4223400043224).

The spelling of 2112200021112 in words is "two trillion, one hundred twelve billion, two hundred million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 79 93 124 142 158 186 213 237 248 284 316 372 426 474 568 632 744 852 948 1704 1896 2201 2449 4402 4898 5609 6603 7347 8804 9796 11218 13206 14694 16827 17608 19592 22436 26412 29388 33654 44872 52824 58776 67308 134616 173879 347758 506147 521637 695516 1012294 1043274 1391032 1518441 2024588 2086548 3036882 4049176 4173096 6073764 12147528 15690557 31381114 35936437 39985613 47071671 62762228 71872874 79971226 94143342 107809311 119956839 125524456 143745748 159942452 188286684 215618622 239913678 287491496 319884904 376573368 431237244 479827356 862474488 959654712 1114029547 1239554003 2228059094 2479108006 2838978523 3342088641 3718662009 4456118188 4958216012 5677957046 6684177282 7437324018 8516935569 8912236376 9916432024 11355914092 13368354564 14874648036 17033871138 22711828184 26736709128 29749296072 34067742276 68135484552 88008334213 176016668426 264025002639 352033336852 528050005278 704066673704 1056100010556 2112200021112