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12331323132241 is a prime number
BaseRepresentation
bin1011001101110001110000…
…1000101000100101010001
31121122212022010000010010111
42303130130020220211101
53104014022210212431
642120533122401321
72411623453120201
oct263343410504521
947585263003114
1012331323132241
113a24759481a53
121471a87200241
136b5ab9a5a569
14308ba6b8c401
15165b754677b1
hexb371c228951

12331323132241 has 2 divisors, whose sum is σ = 12331323132242. Its totient is φ = 12331323132240.

The previous prime is 12331323132217. The next prime is 12331323132367. The reversal of 12331323132241 is 14223132313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12295745627841 + 35577504400 = 3506529^2 + 188620^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331323132241 - 217 = 12331323001169 is a prime.

It is not a weakly prime, because it can be changed into another prime (12331323192241) 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 as a sum of consecutive naturals, namely, 6165661566120 + 6165661566121.

It is an arithmetic number, because the mean of its divisors is an integer number (6165661566121).

Almost surely, 212331323132241 is an apocalyptic number.

It is an amenable number.

12331323132241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331323132241 is an equidigital number, since it uses as much as digits as its factorization.

12331323132241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 31.

Adding to 12331323132241 its reverse (14223132313321), we get a palindrome (26554455445562).

The spelling of 12331323132241 in words is "twelve trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred forty-one".