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2033201101 is a prime number
BaseRepresentation
bin111100100110000…
…0010111111001101
312020200211022120111
41321030002333031
513130444413401
6533430320021
7101245632001
oct17114027715
95220738514
102033201101
11953764098
12488ab9011
13265300399
1415405c701
15bd76ee51
hex79302fcd

2033201101 has 2 divisors, whose sum is σ = 2033201102. Its totient is φ = 2033201100.

The previous prime is 2033201087. The next prime is 2033201113. The reversal of 2033201101 is 1011023302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1838179876 + 195021225 = 42874^2 + 13965^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033201101 - 225 = 1999646669 is a prime.

It is a super-2 number, since 2×20332011012 = 8267813434215224402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033201161) 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, 1016600550 + 1016600551.

It is an arithmetic number, because the mean of its divisors is an integer number (1016600551).

Almost surely, 22033201101 is an apocalyptic number.

It is an amenable number.

2033201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033201101 is an equidigital number, since it uses as much as digits as its factorization.

2033201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2033201101 is about 45091.0312700874. The cubic root of 2033201101 is about 1266.8546175933.

Adding to 2033201101 its reverse (1011023302), we get a palindrome (3044224403).

It can be divided in two parts, 2033201 and 101, that added together give a palindrome (2033302).

The spelling of 2033201101 in words is "two billion, thirty-three million, two hundred one thousand, one hundred one".