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12331323302141 is a prime number
BaseRepresentation
bin1011001101110001110000…
…1001010010000011111101
31121122212022010022202012002
42303130130021102003331
53104014022231132031
642120533130152045
72411623454425424
oct263343411220375
947585263282162
1012331323302141
113a24759588668
121471a87282625
136b5ab9ab99ac
14308ba6bd42bb
15165b7549cccb
hexb371c2520fd

12331323302141 has 2 divisors, whose sum is σ = 12331323302142. Its totient is φ = 12331323302140.

The previous prime is 12331323302101. The next prime is 12331323302143. The reversal of 12331323302141 is 14120332313321.

12331323302141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6906830767225 + 5424492534916 = 2628085^2 + 2329054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12331323302141 is a prime.

Together with 12331323302143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331323302143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165661651070 + 6165661651071.

It is an arithmetic number, because the mean of its divisors is an integer number (6165661651071).

Almost surely, 212331323302141 is an apocalyptic number.

It is an amenable number.

12331323302141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331323302141 is an equidigital number, since it uses as much as digits as its factorization.

12331323302141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 12331323302141 its reverse (14120332313321), we get a palindrome (26451655615462).

The spelling of 12331323302141 in words is "twelve trillion, three hundred thirty-one billion, three hundred twenty-three million, three hundred two thousand, one hundred forty-one".