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133123333289 is a prime number
BaseRepresentation
bin111101111111011000…
…1001101110010101001
3110201121121001000102112
41323332301031302221
54140114033131124
6141053411012105
712421630443212
oct1737661156251
9421547030375
10133123333289
1151503718711
122197289a035
13c726cac23b
14662c218409
1536e216a90e
hex1efec4dca9

133123333289 has 2 divisors, whose sum is σ = 133123333290. Its totient is φ = 133123333288.

The previous prime is 133123333283. The next prime is 133123333337. The reversal of 133123333289 is 982333321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133011925264 + 111408025 = 364708^2 + 10555^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123333289 - 212 = 133123329193 is a prime.

It is not a weakly prime, because it can be changed into another prime (133123333283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561666644 + 66561666645.

It is an arithmetic number, because the mean of its divisors is an integer number (66561666645).

Almost surely, 2133123333289 is an apocalyptic number.

It is an amenable number.

133123333289 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123333289 is an equidigital number, since it uses as much as digits as its factorization.

133123333289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209952, while the sum is 41.

The spelling of 133123333289 in words is "one hundred thirty-three billion, one hundred twenty-three million, three hundred thirty-three thousand, two hundred eighty-nine".