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42387101 is a prime number
BaseRepresentation
bin1010000110110…
…0011010011101
32221202111011122
42201230122131
541322341401
64112300325
71023166361
oct241543235
987674148
1042387101
1121a21069
12122416a5
138a21233
1458b52a1
153ac421b
hex286c69d

42387101 has 2 divisors, whose sum is σ = 42387102. Its totient is φ = 42387100.

The previous prime is 42387053. The next prime is 42387133. The reversal of 42387101 is 10178324.

42387101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38875225 + 3511876 = 6235^2 + 1874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42387101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42387161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21193550 + 21193551.

It is an arithmetic number, because the mean of its divisors is an integer number (21193551).

Almost surely, 242387101 is an apocalyptic number.

It is an amenable number.

42387101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42387101 is an equidigital number, since it uses as much as digits as its factorization.

42387101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 42387101 is about 6510.5376890085. The cubic root of 42387101 is about 348.6673156927.

The spelling of 42387101 in words is "forty-two million, three hundred eighty-seven thousand, one hundred one".