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20217137 is a prime number
BaseRepresentation
bin100110100011…
…1110100110001
31102001010200212
41031013310301
520133422022
62001153505
7333562043
oct115076461
942033625
1020217137
1110459486
12692b895
13425b205
142983a93
151b953e2
hex1347d31

20217137 has 2 divisors, whose sum is σ = 20217138. Its totient is φ = 20217136.

The previous prime is 20217103. The next prime is 20217163. The reversal of 20217137 is 73171202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19855936 + 361201 = 4456^2 + 601^2 .

It is a cyclic number.

It is not a de Polignac number, because 20217137 - 216 = 20151601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20214137) 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, 10108568 + 10108569.

It is an arithmetic number, because the mean of its divisors is an integer number (10108569).

Almost surely, 220217137 is an apocalyptic number.

It is an amenable number.

20217137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20217137 is an equidigital number, since it uses as much as digits as its factorization.

20217137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 20217137 is about 4496.3470729026. The cubic root of 20217137 is about 272.4205620930.

Adding to 20217137 its reverse (73171202), we get a palindrome (93388339).

The spelling of 20217137 in words is "twenty million, two hundred seventeen thousand, one hundred thirty-seven".