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242113321331857 is a prime number
BaseRepresentation
bin110111000011001101100110…
…100000110110110010010001
31011202020210210122111001000001
4313003031212200312302101
5223213241040230104412
62214533154020130001
7101666052543326203
oct6703154640666221
91152223718431001
10242113321331857
1170165757013078
12231a3225536901
13a51325a728611
1443b04c0d02773
151cecdca749957
hexdc3366836c91

242113321331857 has 2 divisors, whose sum is σ = 242113321331858. Its totient is φ = 242113321331856.

The previous prime is 242113321331837. The next prime is 242113321331969. The reversal of 242113321331857 is 758133123311242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188733990326401 + 53379331005456 = 13738049^2 + 7306116^2 .

It is a cyclic number.

It is not a de Polignac number, because 242113321331857 - 211 = 242113321329809 is a prime.

It is not a weakly prime, because it can be changed into another prime (242113321331807) 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, 121056660665928 + 121056660665929.

It is an arithmetic number, because the mean of its divisors is an integer number (121056660665929).

Almost surely, 2242113321331857 is an apocalyptic number.

It is an amenable number.

242113321331857 is a deficient number, since it is larger than the sum of its proper divisors (1).

242113321331857 is an equidigital number, since it uses as much as digits as its factorization.

242113321331857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 46.

The spelling of 242113321331857 in words is "two hundred forty-two trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, eight hundred fifty-seven".