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20106137 is a prime number
BaseRepresentation
bin100110010110…
…0101110011001
31101211111102202
41030230232121
520121344022
61554535545
7332620322
oct114545631
941744382
1020106137
1110393047
1268975b5
13421c82c
142955449
151b72592
hex132cb99

20106137 has 2 divisors, whose sum is σ = 20106138. Its totient is φ = 20106136.

The previous prime is 20106127. The next prime is 20106139. The reversal of 20106137 is 73160102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19571776 + 534361 = 4424^2 + 731^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20106137 is a prime.

Together with 20106139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20106139) 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, 10053068 + 10053069.

It is an arithmetic number, because the mean of its divisors is an integer number (10053069).

Almost surely, 220106137 is an apocalyptic number.

It is an amenable number.

20106137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20106137 is an equidigital number, since it uses as much as digits as its factorization.

20106137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 20106137 is about 4483.9867305780. The cubic root of 20106137 is about 271.9210816679.

Adding to 20106137 its reverse (73160102), we get a palindrome (93266239).

The spelling of 20106137 in words is "twenty million, one hundred six thousand, one hundred thirty-seven".