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90000133 is a prime number
BaseRepresentation
bin1010101110101…
…00101100000101
320021100110222021
411113110230011
5141020001013
612533003141
72141663026
oct527245405
9207313867
1090000133
1146891483
12261834b1
1315852022
14bd4ac4d
157d7ba8d
hex55d4b05

90000133 has 2 divisors, whose sum is σ = 90000134. Its totient is φ = 90000132.

The previous prime is 90000121. The next prime is 90000149. The reversal of 90000133 is 33100009.

It is a happy number.

It is an a-pointer prime, because the next prime (90000149) can be obtained adding 90000133 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89908324 + 91809 = 9482^2 + 303^2 .

It is a cyclic number.

It is not a de Polignac number, because 90000133 - 217 = 89869061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45000066 + 45000067.

It is an arithmetic number, because the mean of its divisors is an integer number (45000067).

Almost surely, 290000133 is an apocalyptic number.

It is an amenable number.

90000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

90000133 is an equidigital number, since it uses as much as digits as its factorization.

90000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 90000133 is about 9486.8399902180. The cubic root of 90000133 is about 448.1406954063.

The spelling of 90000133 in words is "ninety million, one hundred thirty-three", and thus it is an aban number.