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42202157 is a prime number
BaseRepresentation
bin1010000011111…
…1010000101101
32221102002110212
42200333100231
541300432112
64104312205
71021466234
oct240772055
987362425
1042202157
1121905118
1212172665
138987cba
145867b1b
153a89522
hex283f42d

42202157 has 2 divisors, whose sum is σ = 42202158. Its totient is φ = 42202156.

The previous prime is 42202123. The next prime is 42202159. The reversal of 42202157 is 75120224.

It is a happy number.

42202157 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., 41615401 + 586756 = 6451^2 + 766^2 .

It is a cyclic number.

It is not a de Polignac number, because 42202157 - 224 = 25424941 is a prime.

Together with 42202159, 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 (42202159) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21101078 + 21101079.

It is an arithmetic number, because the mean of its divisors is an integer number (21101079).

Almost surely, 242202157 is an apocalyptic number.

It is an amenable number.

42202157 is a deficient number, since it is larger than the sum of its proper divisors (1).

42202157 is an equidigital number, since it uses as much as digits as its factorization.

42202157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 42202157 is about 6496.3187267867. The cubic root of 42202157 is about 348.1594729745.

The spelling of 42202157 in words is "forty-two million, two hundred two thousand, one hundred fifty-seven".