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2033131213 is a prime number
BaseRepresentation
bin111100100101111…
…0001111011001101
312020200200202201001
41321023301323031
513130440144323
6533425020301
7101245221151
oct17113617315
95220622631
102033131213
11953716633
12488a84691
132652a7629
14154041061
15bd7593ad
hex792f1ecd

2033131213 has 2 divisors, whose sum is σ = 2033131214. Its totient is φ = 2033131212.

The previous prime is 2033131193. The next prime is 2033131237. The reversal of 2033131213 is 3121313302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1345275684 + 687855529 = 36678^2 + 26227^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033131213 - 229 = 1496260301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033131273) 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, 1016565606 + 1016565607.

It is an arithmetic number, because the mean of its divisors is an integer number (1016565607).

Almost surely, 22033131213 is an apocalyptic number.

It is an amenable number.

2033131213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033131213 is an equidigital number, since it uses as much as digits as its factorization.

2033131213 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 19.

The square root of 2033131213 is about 45090.2562977857. The cubic root of 2033131213 is about 1266.8401020673.

Adding to 2033131213 its reverse (3121313302), we get a palindrome (5154444515).

The spelling of 2033131213 in words is "two billion, thirty-three million, one hundred thirty-one thousand, two hundred thirteen".