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1323112221 = 321011455569
BaseRepresentation
bin100111011011101…
…0001011100011101
310102012200001202100
41032313101130131
510202204042341
6335142515313
744534161014
oct11667213435
93365601670
101323112221
11619953882
1230b135b39
1318116ab52
14c7a19a7b
157b2583b6
hex4edd171d

1323112221 has 12 divisors (see below), whose sum is σ = 1930085820. Its totient is φ = 873340800.

The previous prime is 1323112187. The next prime is 1323112223. The reversal of 1323112221 is 1222113231.

1323112221 is a `hidden beast` number, since 132 + 311 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 667188900 + 655923321 = 25830^2 + 25611^2 .

It is not a de Polignac number, because 1323112221 - 26 = 1323112157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1323112194 and 1323112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323112223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726876 + ... + 728693.

It is an arithmetic number, because the mean of its divisors is an integer number (160840485).

Almost surely, 21323112221 is an apocalyptic number.

It is an amenable number.

1323112221 is a deficient number, since it is larger than the sum of its proper divisors (606973599).

1323112221 is a wasteful number, since it uses less digits than its factorization.

1323112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455676 (or 1455673 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1323112221 is about 36374.6095649149. The cubic root of 1323112221 is about 1097.8227515054.

Adding to 1323112221 its reverse (1222113231), we get a palindrome (2545225452).

It can be divided in two parts, 13231 and 12221, that added together give a palindrome (25452).

The spelling of 1323112221 in words is "one billion, three hundred twenty-three million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 1455569 4366707 13100121 147012469 441037407 1323112221