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2033400041 is a prime number
BaseRepresentation
bin111100100110011…
…0011100011101001
312020201012102110122
41321030303203221
513131022300131
6533434453025
7101250421001
oct17114634351
95221172418
102033400041
1195388a602
12488b94175
1326536caba
141540b1001
15bd7add7b
hex793338e9

2033400041 has 2 divisors, whose sum is σ = 2033400042. Its totient is φ = 2033400040.

The previous prime is 2033400029. The next prime is 2033400059. The reversal of 2033400041 is 1400043302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1034587225 + 998812816 = 32165^2 + 31604^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033400041 - 214 = 2033383657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2033399992 and 2033400019.

It is not a weakly prime, because it can be changed into another prime (2033400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016700020 + 1016700021.

It is an arithmetic number, because the mean of its divisors is an integer number (1016700021).

Almost surely, 22033400041 is an apocalyptic number.

It is an amenable number.

2033400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033400041 is an equidigital number, since it uses as much as digits as its factorization.

2033400041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2033400041 is about 45093.2371980544. The cubic root of 2033400041 is about 1266.8959350078.

Adding to 2033400041 its reverse (1400043302), we get a palindrome (3433443343).

The spelling of 2033400041 in words is "two billion, thirty-three million, four hundred thousand, forty-one".