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2222111210112 = 27326472981323
BaseRepresentation
bin100000010101100000001…
…001100011101010000000
321212102122202021101112100
4200111200021203222000
5242401340432210422
64420453535030400
7316353662432343
oct40254011435200
97772582241470
102222111210112
11787434936452
122ba7b066b400
1313170c772611
147979d3c045a
153cc076eb7ac
hex20560263a80

2222111210112 has 96 divisors (see below), whose sum is σ = 6404241710880. Its totient is φ = 739558660608.

The previous prime is 2222111210101. The next prime is 2222111210147. The reversal of 2222111210112 is 2110121112222.

2222111210112 is a `hidden beast` number, since 222 + 211 + 121 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22221112101122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745318 + ... + 2236005.

It is an arithmetic number, because the mean of its divisors is an integer number (66710851155).

Almost surely, 22222111210112 is an apocalyptic number.

It is an amenable number.

2222111210112 is an abundant number, since it is smaller than the sum of its proper divisors (4182130500768).

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

2222111210112 is a wasteful number, since it uses less digits than its factorization.

2222111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981990 (or 2981975 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2222111210112 its reverse (2110121112222), we get a palindrome (4332232322334).

The spelling of 2222111210112 in words is "two trillion, two hundred twenty-two billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 647 1152 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 20704 23292 31056 41408 46584 62112 82816 93168 124224 186336 248448 372672 745344 2981323 5962646 8943969 11925292 17887938 23850584 26831907 35775876 47701168 53663814 71551752 95402336 107327628 143103504 190804672 214655256 286207008 381609344 429310512 572414016 858621024 1144828032 1717242048 1928915981 3434484096 3857831962 5786747943 7715663924 11573495886 15431327848 17360243829 23146991772 30862655696 34720487658 46293983544 61725311392 69440975316 92587967088 123450622784 138881950632 185175934176 246901245568 277763901264 370351868352 555527802528 740703736704 1111055605056 2222111210112