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2002033133 is a prime number
BaseRepresentation
bin111011101010100…
…1001100111101101
312011112011211011022
41313111021213231
513100010030013
6530354303525
7100420000202
oct16725114755
95145154138
102002033133
11938106141
1247a587ba5
1325ba098b9
1414dc67ca9
15bab65008
hex775499ed

2002033133 has 2 divisors, whose sum is σ = 2002033134. Its totient is φ = 2002033132.

The previous prime is 2002033129. The next prime is 2002033147. The reversal of 2002033133 is 3313302002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1506837124 + 495196009 = 38818^2 + 22253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002033133 - 22 = 2002033129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002033153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001016566 + 1001016567.

It is an arithmetic number, because the mean of its divisors is an integer number (1001016567).

Almost surely, 22002033133 is an apocalyptic number.

It is an amenable number.

2002033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002033133 is an equidigital number, since it uses as much as digits as its factorization.

2002033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2002033133 is about 44744.0848939835. The cubic root of 2002033133 is about 1260.3478364859.

Adding to 2002033133 its reverse (3313302002), we get a palindrome (5315335135).

The spelling of 2002033133 in words is "two billion, two million, thirty-three thousand, one hundred thirty-three".