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12322111122321 = 371113371019831117
BaseRepresentation
bin1011001101001111011100…
…0011100110101110010001
31121121222112002222112011220
42303103313003212232101
53103341140421403241
642112411045155253
72411146254251340
oct263236703465621
947558462875156
1012322111122321
113a20861545610
1214701360bbb29
136b4c7c3a9610
14308571549b57
151657d685d166
hexb34f70e6b91

12322111122321 has 256 divisors, whose sum is σ = 22923447386112. Its totient is φ = 5681207808000.

The previous prime is 12322111122311. The next prime is 12322111122353.

12322111122321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12322111122321 - 26 = 12322111122257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12322111122291 and 12322111122300.

It is not an unprimeable number, because it can be changed into a prime (12322111122311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11031432855 + ... + 11031433971.

It is an arithmetic number, because the mean of its divisors is an integer number (89544716352).

Almost surely, 212322111122321 is an apocalyptic number.

12322111122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12322111122321 is a deficient number, since it is larger than the sum of its proper divisors (10601336263791).

12322111122321 is a wasteful number, since it uses less digits than its factorization.

12322111122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1232211 and 1122321, that added together give a palindrome (2354532).

The spelling of 12322111122321 in words is "twelve trillion, three hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, three hundred twenty-one".