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442375011101 is a prime number
BaseRepresentation
bin1100110111111111001…
…10101111101100011101
31120021211212121222020102
412123333212233230131
524221441000323401
6535120235430445
743650315360302
oct6337746575435
91507755558212
10442375011101
11160679185431
127189a5b5425
133293c76a3ca
14175a7d670a9
15b791b6c56b
hex66ff9afb1d

442375011101 has 2 divisors, whose sum is σ = 442375011102. Its totient is φ = 442375011100.

The previous prime is 442375011031. The next prime is 442375011103. The reversal of 442375011101 is 101110573244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 435712207225 + 6662803876 = 660085^2 + 81626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442375011101 is a prime.

It is a super-3 number, since 3×4423750111013 (a number of 36 digits) contains 333 as substring.

Together with 442375011103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442375011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221187505550 + 221187505551.

It is an arithmetic number, because the mean of its divisors is an integer number (221187505551).

Almost surely, 2442375011101 is an apocalyptic number.

It is an amenable number.

442375011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

442375011101 is an equidigital number, since it uses as much as digits as its factorization.

442375011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 442375011101 its reverse (101110573244), we get a palindrome (543485584345).

The spelling of 442375011101 in words is "four hundred forty-two billion, three hundred seventy-five million, eleven thousand, one hundred one".