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133300361 is a prime number
BaseRepresentation
bin1111111001000…
…00000010001001
3100021211100201102
413330200002021
5233111102421
621121031145
73206014535
oct774400211
9307740642
10133300361
1169276597
12387854b5
1321802a6c
14139bcbc5
15ba8160b
hex7f20089

133300361 has 2 divisors, whose sum is σ = 133300362. Its totient is φ = 133300360.

The previous prime is 133300339. The next prime is 133300369. The reversal of 133300361 is 163003331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132963961 + 336400 = 11531^2 + 580^2 .

It is a cyclic number.

It is not a de Polignac number, because 133300361 - 210 = 133299337 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (133300369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66650180 + 66650181.

It is an arithmetic number, because the mean of its divisors is an integer number (66650181).

Almost surely, 2133300361 is an apocalyptic number.

It is an amenable number.

133300361 is a deficient number, since it is larger than the sum of its proper divisors (1).

133300361 is an equidigital number, since it uses as much as digits as its factorization.

133300361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 133300361 is about 11545.5775515996. The cubic root of 133300361 is about 510.8308397739.

Adding to 133300361 its reverse (163003331), we get a palindrome (296303692).

The spelling of 133300361 in words is "one hundred thirty-three million, three hundred thousand, three hundred sixty-one".