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242000575361 is a prime number
BaseRepresentation
bin1110000101100001011…
…0111011101110000001
3212010122102202222110122
43201120112323232001
512431104121402421
6303101252110025
723324666644016
oct3413026735601
9763572688418
10242000575361
11936a501a106
123aa99605315
1319a889ba92c
14b9da25770d
1564658d42ab
hex38585bbb81

242000575361 has 2 divisors, whose sum is σ = 242000575362. Its totient is φ = 242000575360.

The previous prime is 242000575331. The next prime is 242000575393. The reversal of 242000575361 is 163575000242.

242000575361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235850094736 + 6150480625 = 485644^2 + 78425^2 .

It is a cyclic number.

It is not a de Polignac number, because 242000575361 - 210 = 242000574337 is a prime.

It is not a weakly prime, because it can be changed into another prime (242000575331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121000287680 + 121000287681.

It is an arithmetic number, because the mean of its divisors is an integer number (121000287681).

Almost surely, 2242000575361 is an apocalyptic number.

It is an amenable number.

242000575361 is a deficient number, since it is larger than the sum of its proper divisors (1).

242000575361 is an equidigital number, since it uses as much as digits as its factorization.

242000575361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 242000575361 in words is "two hundred forty-two billion, five hundred seventy-five thousand, three hundred sixty-one".