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442242103130657 is a prime number
BaseRepresentation
bin110010010001101111000001…
…1011101100011101000100001
32010222211221011112210022022022
41210203132003131203220201
5430431143311400140112
64204323114550351225
7162102636404115254
oct14443360335435041
92128757145708268
10442242103130657
11118a03905a979a5
124172559565b515
1315c9c3363940bb
147b2c8bc2c509b
15361daea718d72
hex1923783763a21

442242103130657 has 2 divisors, whose sum is σ = 442242103130658. Its totient is φ = 442242103130656.

The previous prime is 442242103130617. The next prime is 442242103130713. The reversal of 442242103130657 is 756031301242244.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302411265280576 + 139830837850081 = 17389976^2 + 11825009^2 .

It is a cyclic number.

It is not a de Polignac number, because 442242103130657 - 26 = 442242103130593 is a prime.

It is not a weakly prime, because it can be changed into another prime (442242103130617) 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, 221121051565328 + 221121051565329.

It is an arithmetic number, because the mean of its divisors is an integer number (221121051565329).

Almost surely, 2442242103130657 is an apocalyptic number.

It is an amenable number.

442242103130657 is a deficient number, since it is larger than the sum of its proper divisors (1).

442242103130657 is an equidigital number, since it uses as much as digits as its factorization.

442242103130657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 442242103130657 in words is "four hundred forty-two trillion, two hundred forty-two billion, one hundred three million, one hundred thirty thousand, six hundred fifty-seven".