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1023112001993 is a prime number
BaseRepresentation
bin11101110001101100011…
…10100011100111001001
310121210211102201202220212
432320312032203213021
5113230313133030433
62102002224530505
7133626445346024
oct16706616434711
93553742652825
101023112001993
11364999064094
12146352180a35
137562c611373
1437739b6c1bb
151b9307ebd48
hexee363a39c9

1023112001993 has 2 divisors, whose sum is σ = 1023112001994. Its totient is φ = 1023112001992.

The previous prime is 1023112001939. The next prime is 1023112002001. The reversal of 1023112001993 is 3991002113201.

It is a happy number.

Together with previous prime (1023112001939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933565628944 + 89546373049 = 966212^2 + 299243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023112001993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023112001903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511556000996 + 511556000997.

It is an arithmetic number, because the mean of its divisors is an integer number (511556000997).

Almost surely, 21023112001993 is an apocalyptic number.

It is an amenable number.

1023112001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023112001993 is an equidigital number, since it uses as much as digits as its factorization.

1023112001993 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 32.

The spelling of 1023112001993 in words is "one trillion, twenty-three billion, one hundred twelve million, one thousand, nine hundred ninety-three".