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2133333341 is a prime number
BaseRepresentation
bin111111100101000…
…0001010101011101
312111200020120011222
41333022001111131
513332113131331
6551404423125
7103603014506
oct17712012535
95450216158
102133333341
119a5235a07
124b6547aa5
1327cc8c129
14163485bad
15c744db7b
hex7f28155d

2133333341 has 2 divisors, whose sum is σ = 2133333342. Its totient is φ = 2133333340.

The previous prime is 2133333311. The next prime is 2133333353. The reversal of 2133333341 is 1433333312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1469188900 + 664144441 = 38330^2 + 25771^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133333341 - 222 = 2129139037 is a prime.

It is a super-2 number, since 2×21333333412 = 9102222287644444562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2133333341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133333311) 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, 1066666670 + 1066666671.

It is an arithmetic number, because the mean of its divisors is an integer number (1066666671).

Almost surely, 22133333341 is an apocalyptic number.

It is an amenable number.

2133333341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133333341 is an equidigital number, since it uses as much as digits as its factorization.

2133333341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 26.

The square root of 2133333341 is about 46188.0216181642. The cubic root of 2133333341 is about 1287.3191810163.

Adding to 2133333341 its reverse (1433333312), we get a palindrome (3566666653).

The spelling of 2133333341 in words is "two billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred forty-one".