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150133045330305 = 325171221116071767
BaseRepresentation
bin100010001000101110010010…
…110101100000000110000001
3201200120120122001201211212200
4202020232102311200012001
5124134234434101032210
61251150100251143413
743423516551331632
oct4210562265400601
9650516561654780
10150133045330305
11439230811460a4
1214a08959144b69
1365a0640636a2b
14291069a12b889
1512554897dd0c0
hex888b92d60181

150133045330305 has 48 divisors (see below), whose sum is σ = 275560876865664. Its totient is φ = 75354724938240.

The previous prime is 150133045330231. The next prime is 150133045330321. The reversal of 150133045330305 is 503033540331051.

150133045330305 is a `hidden beast` number, since 1 + 5 + 0 + 13 + 3 + 0 + 4 + 5 + 330 + 305 = 666.

It is a de Polignac number, because none of the positive numbers 2k-150133045330305 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 150133045330305.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 1305532 + ... + 17377298.

It is an arithmetic number, because the mean of its divisors is an integer number (5740851601368).

Almost surely, 2150133045330305 is an apocalyptic number.

150133045330305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150133045330305 is a deficient number, since it is larger than the sum of its proper divisors (125427831535359).

150133045330305 is a wasteful number, since it uses less digits than its factorization.

150133045330305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16084006 (or 16084003 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 150133045330305 its reverse (503033540331051), we get a palindrome (653166585661356).

The spelling of 150133045330305 in words is "one hundred fifty trillion, one hundred thirty-three billion, forty-five million, three hundred thirty thousand, three hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 12211 36633 61055 109899 183165 207587 549495 622761 1037935 1868283 3113805 9341415 16071767 48215301 80358835 144645903 241076505 273220039 723229515 819660117 1366100195 2458980351 4098300585 12294901755 196252346837 588757040511 981261734185 1766271121533 2943785202555 3336289896229 8831355607665 10008869688687 16681449481145 30026609066061 50044348443435 150133045330305