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42123329 is a prime number
BaseRepresentation
bin1010000010110…
…0000001000001
32221021002100022
42200230001001
541240421304
64102503225
71021020353
oct240540101
987232308
1042123329
1121860976
1212134b15
13895b161
1458470d3
153a70ebe
hex282c041

42123329 has 2 divisors, whose sum is σ = 42123330. Its totient is φ = 42123328.

The previous prime is 42123299. The next prime is 42123337. The reversal of 42123329 is 92332124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34199104 + 7924225 = 5848^2 + 2815^2 .

It is a cyclic number.

It is not a de Polignac number, because 42123329 - 28 = 42123073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42123298 and 42123307.

It is not a weakly prime, because it can be changed into another prime (42123379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21061664 + 21061665.

It is an arithmetic number, because the mean of its divisors is an integer number (21061665).

Almost surely, 242123329 is an apocalyptic number.

It is an amenable number.

42123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

42123329 is an equidigital number, since it uses as much as digits as its factorization.

42123329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

The square root of 42123329 is about 6490.2487625668. The cubic root of 42123329 is about 347.9425660490.

The spelling of 42123329 in words is "forty-two million, one hundred twenty-three thousand, three hundred twenty-nine".