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12433420312993 is a prime number
BaseRepresentation
bin1011010011101110000110…
…0110011110000110100001
31122000121211102212021112101
42310323201212132012201
53112202121100003433
642235500123330401
72422166513621251
oct264734146360641
948017742767471
1012433420312993
113a63a9069aa89
12148981b380a01
136c260abab854
1430dad0563961
1516864d85e07d
hexb4ee199e1a1

12433420312993 has 2 divisors, whose sum is σ = 12433420312994. Its totient is φ = 12433420312992.

The previous prime is 12433420312967. The next prime is 12433420313009. The reversal of 12433420312993 is 39921302433421.

12433420312993 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., 10626406873489 + 1807013439504 = 3259817^2 + 1344252^2 .

It is a cyclic number.

It is not a de Polignac number, because 12433420312993 - 25 = 12433420312961 is a prime.

It is not a weakly prime, because it can be changed into another prime (12433420312393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6216710156496 + 6216710156497.

It is an arithmetic number, because the mean of its divisors is an integer number (6216710156497).

Almost surely, 212433420312993 is an apocalyptic number.

It is an amenable number.

12433420312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12433420312993 is an equidigital number, since it uses as much as digits as its factorization.

12433420312993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 12433420312993 in words is "twelve trillion, four hundred thirty-three billion, four hundred twenty million, three hundred twelve thousand, nine hundred ninety-three".