Search a number
-
+
221122121112222 = 23112351133867409
BaseRepresentation
bin110010010001110000000001…
…011110110001101010011110
31001222221001211210221021011120
4302101300001132301222132
5212440331101001042342
62102142033341231410
764401355203405501
oct6221600136615236
91058831753837146
10221122121112222
11645024017a9400
1220972b46b62566
13964c95a2c60a5
143c86521215138
151a86d61979aec
hexc91c017b1a9e

221122121112222 has 48 divisors (see below), whose sum is σ = 486105120132240. Its totient is φ = 67006435288320.

The previous prime is 221122121112173. The next prime is 221122121112247. The reversal of 221122121112222 is 222211121221122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221122121112192 and 221122121112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254488854 + ... + 255356262.

It is an arithmetic number, because the mean of its divisors is an integer number (10127190002755).

Almost surely, 2221122121112222 is an apocalyptic number.

221122121112222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221122121112222 is an abundant number, since it is smaller than the sum of its proper divisors (264982999020018).

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

221122121112222 is a wasteful number, since it uses less digits than its factorization.

221122121112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218569 (or 1218558 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 221122121112222 its reverse (222211121221122), we get a palindrome (443333242333344).

The spelling of 221122121112222 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 351133 702266 867409 1053399 1734818 2106798 2602227 3862463 5204454 7724926 9541499 11587389 19082998 23174778 28624497 42487093 57248994 84974186 104956489 127461279 209912978 254922558 314869467 629738934 304575924397 609151848794 913727773191 1827455546382 3350335168367 6700670336734 10051005505101 20102011010202 36853686852037 73707373704074 110561060556111 221122121112222