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993343410001 is a prime number
BaseRepresentation
bin11100111010001111110…
…00011000111101010001
310111221222210212121122201
432131013320120331101
5112233331403110001
62040200300403201
7131523655446055
oct16350770307521
93457883777581
10993343410001
11353302505348
12140624846501
137289717c3a7
143611435dc65
151ac8c183501
hexe747e18f51

993343410001 has 2 divisors, whose sum is σ = 993343410002. Its totient is φ = 993343410000.

The previous prime is 993343409987. The next prime is 993343410013. The reversal of 993343410001 is 100014343399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961035144976 + 32308265025 = 980324^2 + 179745^2 .

It is a cyclic number.

It is not a de Polignac number, because 993343410001 - 27 = 993343409873 is a prime.

It is a super-2 number, since 2×9933434100012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (993343410401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496671705000 + 496671705001.

It is an arithmetic number, because the mean of its divisors is an integer number (496671705001).

Almost surely, 2993343410001 is an apocalyptic number.

It is an amenable number.

993343410001 is a deficient number, since it is larger than the sum of its proper divisors (1).

993343410001 is an equidigital number, since it uses as much as digits as its factorization.

993343410001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 993343410001 in words is "nine hundred ninety-three billion, three hundred forty-three million, four hundred ten thousand, one".