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112121220222 = 23311467404189
BaseRepresentation
bin110100001101011110…
…0100000110001111110
3101201101220212010111000
41220122330200301332
53314111013021342
6123301402511130
711046316434654
oct1503274406176
9351356763430
10112121220222
1143606562280
12198912054a6
13a75ab076bb
1455d8bd4dd4
152db345244c
hex1a1af20c7e

112121220222 has 64 divisors (see below), whose sum is σ = 272391724800. Its totient is φ = 33903289440.

The previous prime is 112121220161. The next prime is 112121220227. The reversal of 112121220222 is 222022121211.

It is a happy number.

112121220222 is a `hidden beast` number, since 11 + 212 + 1 + 220 + 222 = 666.

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 = 112121220195 and 112121220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121220227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75304 + ... + 479492.

It is an arithmetic number, because the mean of its divisors is an integer number (4256120700).

Almost surely, 2112121220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136195862400).

112121220222 is an abundant number, since it is smaller than the sum of its proper divisors (160270504578).

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

112121220222 is a wasteful number, since it uses less digits than its factorization.

112121220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404678 (or 404672 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112121220222 its reverse (222022121211), we get a palindrome (334143341433).

The spelling of 112121220222 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 467 594 934 1401 2802 4203 5137 8406 10274 12609 15411 25218 30822 46233 92466 138699 277398 404189 808378 1212567 2425134 3637701 4446079 7275402 8892158 10913103 13338237 21826206 26676474 40014711 80029422 120044133 188756263 240088266 377512526 566268789 1132537578 1698806367 2076318893 3397612734 4152637786 5096419101 6228956679 10192838202 12457913358 18686870037 37373740074 56060610111 112121220222