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242022401993 is a prime number
BaseRepresentation
bin1110000101100110101…
…0001100011111001001
3212010200221211212222102
43201121222030133021
512431130213330433
6303103352003145
723325353321351
oct3413152143711
9763627755872
10242022401993
1193706377849
123aaa49904b5
1319a903905b8
14b9dd0d9b61
1564677964e8
hex3859a8c7c9

242022401993 has 2 divisors, whose sum is σ = 242022401994. Its totient is φ = 242022401992.

The previous prime is 242022401989. The next prime is 242022402067. The reversal of 242022401993 is 399104220242.

242022401993 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., 191416750144 + 50605651849 = 437512^2 + 224957^2 .

It is a cyclic number.

It is not a de Polignac number, because 242022401993 - 22 = 242022401989 is a prime.

It is a super-2 number, since 2×2420224019932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242022401903) 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, 121011200996 + 121011200997.

It is an arithmetic number, because the mean of its divisors is an integer number (121011200997).

Almost surely, 2242022401993 is an apocalyptic number.

It is an amenable number.

242022401993 is a deficient number, since it is larger than the sum of its proper divisors (1).

242022401993 is an equidigital number, since it uses as much as digits as its factorization.

242022401993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 242022401993 in words is "two hundred forty-two billion, twenty-two million, four hundred one thousand, nine hundred ninety-three".