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112111222001202 = 233232916091934521
BaseRepresentation
bin11001011111011011101101…
…100100000000111000110010
3112200221201122211012200222000
4121133123231210000320302
5104143312240313014302
61034235103454154430
732420524410446034
oct3137335544007062
9480851584180860
10112111222001202
11327a41140a4736
12106a7aa54b2a16
134a7307325b158
141d982d7dcdc54
15ce640bc1c31c
hex65f6ed900e32

112111222001202 has 128 divisors (see below), whose sum is σ = 269099748288000. Its totient is φ = 34491532078080.

The previous prime is 112111222001147. The next prime is 112111222001203. The reversal of 112111222001202 is 202100222111211.

112111222001202 is a `hidden beast` number, since 11 + 211 + 122 + 200 + 120 + 2 = 666.

112111222001202 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (112111222001203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56985702 + ... + 58920222.

It is an arithmetic number, because the mean of its divisors is an integer number (2102341783500).

Almost surely, 2112111222001202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111222001202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134549874144000).

112111222001202 is an abundant number, since it is smaller than the sum of its proper divisors (156988526286798).

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

112111222001202 is a wasteful number, since it uses less digits than its factorization.

112111222001202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936193 (or 1936187 counting only the distinct ones).

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

Adding to 112111222001202 its reverse (202100222111211), we get a palindrome (314211444112413).

The spelling of 112111222001202 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 414 522 621 667 783 1242 1334 1566 1609 2001 3218 4002 4827 6003 9654 12006 14481 18009 28962 36018 37007 43443 46661 74014 86886 93322 111021 139983 222042 279966 333063 419949 666126 839898 999189 1073203 1259847 1934521 1998378 2146406 2519694 3219609 3869042 5803563 6439218 9658827 11607126 17410689 19317654 28976481 34821378 44493983 52232067 56101109 57952962 88987966 104464134 112202218 133481949 168303327 266963898 336606654 400445847 504909981 800891694 1009819962 1201337541 1290325507 1514729943 2402675082 2580651014 3029459886 3112644289 3870976521 6225288578 7741953042 9337932867 11612929563 18675865734 23225859126 28013798601 34838788689 56027597202 69677577378 71590818647 84041395803 90266684381 143181637294 168082791606 180533368762 214772455941 270800053143 429544911882 541600106286 644317367823 812400159429 1288634735646 1624800318858 1932952103469 2076133740763 2437200478287 3865904206938 4152267481526 4874400956574 6228401222289 12456802444578 18685203666867 37370407333734 56055611000601 112111222001202