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90133181 is a prime number
BaseRepresentation
bin1010101111101…
…01001010111101
320021121020110222
411113311022331
5141033230211
612535511125
72143055645
oct527651275
9207536428
1090133181
1146972436
12262284a5
131589a758
14bd83525
157da61db
hex55f52bd

90133181 has 2 divisors, whose sum is σ = 90133182. Its totient is φ = 90133180.

The previous prime is 90133163. The next prime is 90133193. The reversal of 90133181 is 18133109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88548100 + 1585081 = 9410^2 + 1259^2 .

It is a cyclic number.

It is not a de Polignac number, because 90133181 - 214 = 90116797 is a prime.

It is a super-2 number, since 2×901331812 = 16247980634357522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90133181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90133111) 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, 45066590 + 45066591.

It is an arithmetic number, because the mean of its divisors is an integer number (45066591).

Almost surely, 290133181 is an apocalyptic number.

It is an amenable number.

90133181 is a deficient number, since it is larger than the sum of its proper divisors (1).

90133181 is an equidigital number, since it uses as much as digits as its factorization.

90133181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 90133181 is about 9493.8496406884. The cubic root of 90133181 is about 448.3614168073.

The spelling of 90133181 in words is "ninety million, one hundred thirty-three thousand, one hundred eighty-one".