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112210210201122 = 232111733336366667
BaseRepresentation
bin11001100000110111111001…
…101110000001111000100010
3112201022012011110222021102200
4121200313321232001320202
5104201423002302413442
61034352354154554030
732430630420326055
oct3140677156017042
9481265143867380
10112210210201122
11328320a0387420
1210703110438916
134a7c4ba25b707
141d9d008910a9c
15ce8ca21e434c
hex660df9b81e22

112210210201122 has 48 divisors (see below), whose sum is σ = 280825552811232. Its totient is φ = 32002911999360.

The previous prime is 112210210201097. The next prime is 112210210201127. The reversal of 112210210201122 is 221102012012211.

112210210201122 is a `hidden beast` number, since 1 + 122 + 10 + 210 + 201 + 122 = 666.

It is a super-2 number, since 2×1122102102011222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112210210201095 and 112210210201104.

It is not an unprimeable number, because it can be changed into a prime (112210210201127) 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 23 ways as a sum of consecutive naturals, for example, 16668179968 + ... + 16668186699.

It is an arithmetic number, because the mean of its divisors is an integer number (5850532350234).

Almost surely, 2112210210201122 is an apocalyptic number.

112210210201122 is an abundant number, since it is smaller than the sum of its proper divisors (168615342610110).

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

112210210201122 is a wasteful number, since it uses less digits than its factorization.

112210210201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336366703 (or 33336366700 counting only the distinct ones).

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

Adding to 112210210201122 its reverse (221102012012211), we get a palindrome (333312222213333).

The spelling of 112210210201122 in words is "one hundred twelve trillion, two hundred ten billion, two hundred ten million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 33336366667 66672733334 100009100001 200018200002 300027300003 366700033337 566718233339 600054600006 733400066674 1100100100011 1133436466678 1700154700017 2200200200022 3300300300033 3400309400034 5100464100051 6233900566729 6600600600066 10200928200102 12467801133458 18701701700187 37403403400374 56105105100561 112210210201122