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42114167 is a prime number
BaseRepresentation
bin1010000010100…
…1110001110111
32221020121202222
42200221301313
541240123132
64102352555
71020651554
oct240516167
987217688
1042114167
1121854aa7
121212b75b
138956c34
145843a2b
153a6d412
hex2829c77

42114167 has 2 divisors, whose sum is σ = 42114168. Its totient is φ = 42114166.

The previous prime is 42114161. The next prime is 42114169. The reversal of 42114167 is 76141124.

42114167 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 is a cyclic number.

It is not a de Polignac number, because 42114167 - 210 = 42113143 is a prime.

Together with 42114169, 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 (42114161) 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, 21057083 + 21057084.

It is an arithmetic number, because the mean of its divisors is an integer number (21057084).

Almost surely, 242114167 is an apocalyptic number.

42114167 is a deficient number, since it is larger than the sum of its proper divisors (1).

42114167 is an equidigital number, since it uses as much as digits as its factorization.

42114167 is an odious number, because the sum of its binary digits is odd.

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

The square root of 42114167 is about 6489.5428960752. The cubic root of 42114167 is about 347.9173378994.

The spelling of 42114167 in words is "forty-two million, one hundred fourteen thousand, one hundred sixty-seven".