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12303300300029 is a prime number
BaseRepresentation
bin1011001100001001010111…
…0110000000110011111101
31121120011222011002202001222
42303002111312000303331
53103034124334100104
642100020320043125
72406612152020004
oct263022566006375
947504864082058
1012303300300029
113a13889300392
1214685664634a5
136b32721a723b
143076a9177c3b
151650851e11be
hexb3095d80cfd

12303300300029 has 2 divisors, whose sum is σ = 12303300300030. Its totient is φ = 12303300300028.

The previous prime is 12303300299993. The next prime is 12303300300077. The reversal of 12303300300029 is 92000300330321.

12303300300029 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., 12053929903129 + 249370396900 = 3471877^2 + 499370^2 .

It is a cyclic number.

It is not a de Polignac number, because 12303300300029 - 212 = 12303300295933 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12303300299980 and 12303300300007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12303300300829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6151650150014 + 6151650150015.

It is an arithmetic number, because the mean of its divisors is an integer number (6151650150015).

Almost surely, 212303300300029 is an apocalyptic number.

It is an amenable number.

12303300300029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12303300300029 is an equidigital number, since it uses as much as digits as its factorization.

12303300300029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

The spelling of 12303300300029 in words is "twelve trillion, three hundred three billion, three hundred million, three hundred thousand, twenty-nine".