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3133333361 is a prime number
BaseRepresentation
bin1011101011000010…
…1101111101110001
322002100220211022202
42322300231331301
522404113131421
61234530112545
7140434615454
oct27260557561
98070824282
103133333361
111368759804
1273541b755
133ac1c9312
1421a1d349b
1513513010b
hexbac2df71

3133333361 has 2 divisors, whose sum is σ = 3133333362. Its totient is φ = 3133333360.

The previous prime is 3133333351. The next prime is 3133333363. The reversal of 3133333361 is 1633333313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2689978225 + 443355136 = 51865^2 + 21056^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133333361 - 26 = 3133333297 is a prime.

Together with 3133333363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3133333363) 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, 1566666680 + 1566666681.

It is an arithmetic number, because the mean of its divisors is an integer number (1566666681).

Almost surely, 23133333361 is an apocalyptic number.

It is an amenable number.

3133333361 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133333361 is an equidigital number, since it uses as much as digits as its factorization.

3133333361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 29.

The square root of 3133333361 is about 55976.1856596178. The cubic root of 3133333361 is about 1463.3072833934.

Adding to 3133333361 its reverse (1633333313), we get a palindrome (4766666674).

The spelling of 3133333361 in words is "three billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred sixty-one".