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12282438446153 is a prime number
BaseRepresentation
bin1011001010111011101001…
…1000010110110001001001
31121111012010020211202120022
42302232322120112301021
53102213413220234103
642042250242110225
72405243163131411
oct262567230266111
947435106752508
1012282438446153
113a05a53333837
12146450394b375
136b12c90a09c5
1430668a625641
15164763981138
hexb2bba616c49

12282438446153 has 2 divisors, whose sum is σ = 12282438446154. Its totient is φ = 12282438446152.

The previous prime is 12282438446137. The next prime is 12282438446167. The reversal of 12282438446153 is 35164483428221.

12282438446153 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., 11251214444089 + 1031224002064 = 3354283^2 + 1015492^2 .

It is a cyclic number.

It is not a de Polignac number, because 12282438446153 - 24 = 12282438446137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12282438446095 and 12282438446104.

It is not a weakly prime, because it can be changed into another prime (12282438445153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6141219223076 + 6141219223077.

It is an arithmetic number, because the mean of its divisors is an integer number (6141219223077).

Almost surely, 212282438446153 is an apocalyptic number.

It is an amenable number.

12282438446153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12282438446153 is an equidigital number, since it uses as much as digits as its factorization.

12282438446153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8847360, while the sum is 53.

The spelling of 12282438446153 in words is "twelve trillion, two hundred eighty-two billion, four hundred thirty-eight million, four hundred forty-six thousand, one hundred fifty-three".