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33205242041 is a prime number
BaseRepresentation
bin11110111011001011…
…111100100010111001
310011201010112001212022
4132323023330202321
51021001020221131
623130531324225
72253566620556
oct367313744271
9104633461768
1033205242041
111309a5478a4
126528450675
13319244a91a
14186ddd9a2d
15ce521037b
hex7bb2fc8b9

33205242041 has 2 divisors, whose sum is σ = 33205242042. Its totient is φ = 33205242040.

The previous prime is 33205242029. The next prime is 33205242043. The reversal of 33205242041 is 14024250233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30248166400 + 2957075641 = 173920^2 + 54379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33205242041 is a prime.

It is a super-2 number, since 2×332052420412 (a number of 22 digits) contains 22 as substring.

Together with 33205242043, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33205242041.

It is not a weakly prime, because it can be changed into another prime (33205242043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16602621020 + 16602621021.

It is an arithmetic number, because the mean of its divisors is an integer number (16602621021).

Almost surely, 233205242041 is an apocalyptic number.

It is an amenable number.

33205242041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33205242041 is an equidigital number, since it uses as much as digits as its factorization.

33205242041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 33205242041 its reverse (14024250233), we get a palindrome (47229492274).

The spelling of 33205242041 in words is "thirty-three billion, two hundred five million, two hundred forty-two thousand, forty-one".