Search a number
-
+
11022222022182 = 233759441490559
BaseRepresentation
bin1010000001100100111110…
…1000001101011000100110
31110000201021121022100222000
42200121033220031120212
52421042002314202212
635235312222350130
72215220636230110
oct240311750153046
943021247270860
1011022222022182
11356a552a8a0a8
1212a021ba2b346
1361c511270cc7
142a169a9cc3b0
15141aa75421dc
hexa064fa0d626

11022222022182 has 64 divisors (see below), whose sum is σ = 27993472819200. Its totient is φ = 3149146892160.

The previous prime is 11022222022157. The next prime is 11022222022183. The reversal of 11022222022182 is 28122022222011.

11022222022182 is a `hidden beast` number, since 1 + 1 + 0 + 222 + 220 + 2 + 218 + 2 = 666.

It is a super-2 number, since 2×110222220221822 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022222022183) 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, 22223419 + ... + 22713977.

It is an arithmetic number, because the mean of its divisors is an integer number (437398012800).

Almost surely, 211022222022182 is an apocalyptic number.

11022222022182 is an abundant number, since it is smaller than the sum of its proper divisors (16971250797018).

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

11022222022182 is a wasteful number, since it uses less digits than its factorization.

11022222022182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550018 (or 550012 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11022222022182 its reverse (28122022222011), we get a palindrome (39144244244193).

The spelling of 11022222022182 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million, twenty-two thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 59441 118882 178323 356646 416087 490559 534969 832174 981118 1069938 1248261 1471677 1604907 2496522 2943354 3209814 3433913 3744783 4415031 6867826 7489566 8830062 10301739 11234349 13245093 20603478 22468698 26490186 30905217 61810434 92715651 185431302 29159317519 58318635038 87477952557 174955905114 204115222633 262433857671 408230445266 524867715342 612345667899 787301573013 1224691335798 1574603146026 1837037003697 3674074007394 5511111011091 11022222022182