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12322322322321 = 311571688395009
BaseRepresentation
bin1011001101010000001110…
…1001010001001110010001
31121122000001211101121010010
42303110003221101032101
53103342104003303241
642112444032025133
72411154430363644
oct263240351211621
947560054347103
1012322322322321
113a2095a788270
1214701949921a9
136b4cb408572b
14308591605a5b
151657ea17ad16
hexb3503a51391

12322322322321 has 32 divisors (see below), whose sum is σ = 17957564951040. Its totient is φ = 7453833638400.

The previous prime is 12322322322263. The next prime is 12322322322371.

It is a happy number.

12322322322321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12322322322321 - 233 = 12313732387729 is a prime.

It is a super-2 number, since 2×123223223223212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12322322322371) 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, 129648865 + ... + 129743873.

It is an arithmetic number, because the mean of its divisors is an integer number (561173904720).

Almost surely, 212322322322321 is an apocalyptic number.

12322322322321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12322322322321 is a deficient number, since it is larger than the sum of its proper divisors (5635242628719).

12322322322321 is a wasteful number, since it uses less digits than its factorization.

12322322322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102477.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 1232232 and 2322321, that added together give a palindrome (3554553).

The spelling of 12322322322321 in words is "twelve trillion, three hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 571 1713 6281 6883 18843 20649 75713 95009 227139 285027 1045099 3135297 3930193 11790579 43232123 54250139 129696369 162750417 596751529 653946947 1790254587 1961840841 7193416417 21580249251 373403706737 1120211120211 4107440774107 12322322322321