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322131134324321 = 7228782122840949
BaseRepresentation
bin100100100111110011111111…
…1110101010001111001100001
31120020120102202121121211112122
41021033213333311101321201
5314210244030341334241
63101041000011034025
7124565130543416300
oct11117477765217141
91506512677554478
10322131134324321
1193706057426093
123016720913b915
1310a98ab2b3275a
145979331524437
152739583dec04b
hex124f9ffd51e61

322131134324321 has 12 divisors (see below), whose sum is σ = 374725290921300. Its totient is φ = 276111429441120.

The previous prime is 322131134324221. The next prime is 322131134324401. The reversal of 322131134324321 is 123423431131223.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26128055856721 + 296003078467600 = 5111561^2 + 17204740^2 .

It is not a de Polignac number, because 322131134324321 - 226 = 322131067215457 is a prime.

It is a super-2 number, since 2×3221311343243212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (322131134324221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2682755 + ... + 25523703.

It is an arithmetic number, because the mean of its divisors is an integer number (31227107576775).

Almost surely, 2322131134324321 is an apocalyptic number.

It is an amenable number.

322131134324321 is a deficient number, since it is larger than the sum of its proper divisors (52594156596979).

322131134324321 is a wasteful number, since it uses less digits than its factorization.

322131134324321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23128784 (or 23128777 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

Adding to 322131134324321 its reverse (123423431131223), we get a palindrome (445554565455544).

The spelling of 322131134324321 in words is "three hundred twenty-two trillion, one hundred thirty-one billion, one hundred thirty-four million, three hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 7 49 287821 2014747 14103229 22840949 159886643 1119206501 6574104782129 46018733474903 322131134324321