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133332217 is a prime number
BaseRepresentation
bin1111111001001…
…11110011111001
3100021212222102021
413330213303321
5233113112332
621121434441
73206206444
oct774476371
9307788367
10133332217
1169298517
123879ba21
1321814405
14139ca65b
15ba8ac97
hex7f27cf9

133332217 has 2 divisors, whose sum is σ = 133332218. Its totient is φ = 133332216.

The previous prime is 133332197. The next prime is 133332229. The reversal of 133332217 is 712233331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125014761 + 8317456 = 11181^2 + 2884^2 .

It is an emirp because it is prime and its reverse (712233331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133332217 - 215 = 133299449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133332191 and 133332200.

It is not a weakly prime, because it can be changed into another prime (133332247) 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, 66666108 + 66666109.

It is an arithmetic number, because the mean of its divisors is an integer number (66666109).

Almost surely, 2133332217 is an apocalyptic number.

It is an amenable number.

133332217 is a deficient number, since it is larger than the sum of its proper divisors (1).

133332217 is an equidigital number, since it uses as much as digits as its factorization.

133332217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 133332217 is about 11546.9570450400. The cubic root of 133332217 is about 510.8715291638.

Adding to 133332217 its reverse (712233331), we get a palindrome (845565548).

The spelling of 133332217 in words is "one hundred thirty-three million, three hundred thirty-two thousand, two hundred seventeen".