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12303223121333 is a prime number
BaseRepresentation
bin1011001100001001000100…
…1111100110010110110101
31121120011202202212122210202
42303002101033212112311
53103034000104340313
642100004521530245
72406610224014144
oct263022117462665
947504682778722
1012303223121333
113a13849786941
121468544643985
136b325c1c4081
1430769cc0775b
1516507d548558
hexb30913e65b5

12303223121333 has 2 divisors, whose sum is σ = 12303223121334. Its totient is φ = 12303223121332.

The previous prime is 12303223121327. The next prime is 12303223121359. The reversal of 12303223121333 is 33312132230321.

12303223121333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6353414277604 + 5949808843729 = 2520598^2 + 2439223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12303223121333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12303223121296 and 12303223121305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12303223121633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6151611560666 + 6151611560667.

It is an arithmetic number, because the mean of its divisors is an integer number (6151611560667).

Almost surely, 212303223121333 is an apocalyptic number.

It is an amenable number.

12303223121333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12303223121333 is an equidigital number, since it uses as much as digits as its factorization.

12303223121333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 12303223121333 its reverse (33312132230321), we get a palindrome (45615355351654).

The spelling of 12303223121333 in words is "twelve trillion, three hundred three billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-three".