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993434922041 is a prime number
BaseRepresentation
bin11100111010011010101…
…01011110110000111001
310111222020012001220120112
432131031111132300321
5112234023320001131
62040213330034105
7131526146340032
oct16351525366071
93458205056515
10993434922041
1135334a129731
1214064b418935
13728b0110623
1436122581a89
151ac9520d02b
hexe74d55ec39

993434922041 has 2 divisors, whose sum is σ = 993434922042. Its totient is φ = 993434922040.

The previous prime is 993434921993. The next prime is 993434922043. The reversal of 993434922041 is 140229434399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 970676182441 + 22758739600 = 985229^2 + 150860^2 .

It is an emirp because it is prime and its reverse (140229434399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993434922041 - 214 = 993434905657 is a prime.

Together with 993434922043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (993434922043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496717461020 + 496717461021.

It is an arithmetic number, because the mean of its divisors is an integer number (496717461021).

Almost surely, 2993434922041 is an apocalyptic number.

It is an amenable number.

993434922041 is a deficient number, since it is larger than the sum of its proper divisors (1).

993434922041 is an equidigital number, since it uses as much as digits as its factorization.

993434922041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 993434922041 in words is "nine hundred ninety-three billion, four hundred thirty-four million, nine hundred twenty-two thousand, forty-one".