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1044031133993 is a prime number
BaseRepresentation
bin11110011000101010001…
…10101101100100101001
310200210211022202210020112
433030111012231210221
5114101133432241433
62115342110304105
7135300031134041
oct17142506554451
93623738683215
101044031133993
113728533a2631
1214a40bab8035
13775b4550993
1438762150721
151c2570c3348
hexf3151ad929

1044031133993 has 2 divisors, whose sum is σ = 1044031133994. Its totient is φ = 1044031133992.

The previous prime is 1044031133939. The next prime is 1044031134089. The reversal of 1044031133993 is 3993311304401.

1044031133993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (1044031133939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1032554725609 + 11476408384 = 1016147^2 + 107128^2 .

It is a cyclic number.

It is not a de Polignac number, because 1044031133993 - 238 = 769153227049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1044031133993.

It is not a weakly prime, because it can be changed into another prime (1044031133923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 522015566996 + 522015566997.

It is an arithmetic number, because the mean of its divisors is an integer number (522015566997).

Almost surely, 21044031133993 is an apocalyptic number.

It is an amenable number.

1044031133993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1044031133993 is an equidigital number, since it uses as much as digits as its factorization.

1044031133993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 1044031133993 in words is "one trillion, forty-four billion, thirty-one million, one hundred thirty-three thousand, nine hundred ninety-three".