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242823001 is a prime number
BaseRepresentation
bin11100111100100…
…10111101011001
3121220220200112111
432132102331121
5444130314001
640032312321
76005650531
oct1636227531
9556820474
10242823001
11115081573
12693a26a1
133b3cba65
142436c4c1
15164b7851
hexe792f59

242823001 has 2 divisors, whose sum is σ = 242823002. Its totient is φ = 242823000.

The previous prime is 242822999. The next prime is 242823023. The reversal of 242823001 is 100328242.

It is an a-pointer prime, because the next prime (242823023) can be obtained adding 242823001 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198133776 + 44689225 = 14076^2 + 6685^2 .

It is a cyclic number.

It is not a de Polignac number, because 242823001 - 21 = 242822999 is a prime.

Together with 242822999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (242823071) 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, 121411500 + 121411501.

It is an arithmetic number, because the mean of its divisors is an integer number (121411501).

Almost surely, 2242823001 is an apocalyptic number.

It is an amenable number.

242823001 is a deficient number, since it is larger than the sum of its proper divisors (1).

242823001 is an equidigital number, since it uses as much as digits as its factorization.

242823001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 242823001 is about 15582.7789883576. The cubic root of 242823001 is about 623.8735986917.

The spelling of 242823001 in words is "two hundred forty-two million, eight hundred twenty-three thousand, one".