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42120791 is a prime number
BaseRepresentation
bin1010000010101…
…1011001010111
32221020221212022
42200223121113
541240331131
64102443355
71021010066
oct240533127
987227768
1042120791
1121859a79
121213355b
138959c5b
1458461dd
153a7037b
hex282b657

42120791 has 2 divisors, whose sum is σ = 42120792. Its totient is φ = 42120790.

The previous prime is 42120773. The next prime is 42120809. The reversal of 42120791 is 19702124.

42120791 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (42120773) and next prime (42120809).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42120791 is a prime.

It is a super-2 number, since 2×421207912 = 3548322068931362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42120791.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42120721) 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, 21060395 + 21060396.

It is an arithmetic number, because the mean of its divisors is an integer number (21060396).

Almost surely, 242120791 is an apocalyptic number.

42120791 is a deficient number, since it is larger than the sum of its proper divisors (1).

42120791 is an equidigital number, since it uses as much as digits as its factorization.

42120791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 42120791 is about 6490.0532355290. The cubic root of 42120791 is about 347.9355778709.

It can be divided in two parts, 421 and 20791, that added together give a palindrome (21212).

The spelling of 42120791 in words is "forty-two million, one hundred twenty thousand, seven hundred ninety-one".