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42241031101 is a prime number
BaseRepresentation
bin100111010101110000…
…101111101110111101
311001000211221201020101
4213111300233232331
51143002200443401
631223311521101
73023525561113
oct472560575675
9131024851211
1042241031101
1116a06a62965
12822a529191
133ca244bb79
14208a089ab3
15117360b101
hex9d5c2fbbd

42241031101 has 2 divisors, whose sum is σ = 42241031102. Its totient is φ = 42241031100.

The previous prime is 42241031099. The next prime is 42241031113. The reversal of 42241031101 is 10113014224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31426071076 + 10814960025 = 177274^2 + 103995^2 .

It is a cyclic number.

It is not a de Polignac number, because 42241031101 - 21 = 42241031099 is a prime.

Together with 42241031099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42241031191) 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, 21120515550 + 21120515551.

It is an arithmetic number, because the mean of its divisors is an integer number (21120515551).

Almost surely, 242241031101 is an apocalyptic number.

It is an amenable number.

42241031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42241031101 is an equidigital number, since it uses as much as digits as its factorization.

42241031101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 42241031101 its reverse (10113014224), we get a palindrome (52354045325).

The spelling of 42241031101 in words is "forty-two billion, two hundred forty-one million, thirty-one thousand, one hundred one".