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289766620201 is a prime number
BaseRepresentation
bin1000011011101110110…
…11111011110000101001
31000200221100000110201111
410031313123323300221
514221420223321301
6341041132150321
726635454426662
oct4156733736051
91020840013644
10289766620201
11101986780623
12481aa3083a1
132142b99a9a6
141004bdcc369
15780e0a1551
hex43776fbc29

289766620201 has 2 divisors, whose sum is σ = 289766620202. Its totient is φ = 289766620200.

The previous prime is 289766620189. The next prime is 289766620303. The reversal of 289766620201 is 102026667982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 266308634601 + 23457985600 = 516051^2 + 153160^2 .

It is a cyclic number.

It is not a de Polignac number, because 289766620201 - 223 = 289758231593 is a prime.

It is a super-3 number, since 3×2897666202013 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (289766620501) 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, 144883310100 + 144883310101.

It is an arithmetic number, because the mean of its divisors is an integer number (144883310101).

Almost surely, 2289766620201 is an apocalyptic number.

It is an amenable number.

289766620201 is a deficient number, since it is larger than the sum of its proper divisors (1).

289766620201 is an equidigital number, since it uses as much as digits as its factorization.

289766620201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 289766620201 in words is "two hundred eighty-nine billion, seven hundred sixty-six million, six hundred twenty thousand, two hundred one".