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20129141 is a prime number
BaseRepresentation
bin100110011001…
…0010101110101
31101212122222202
41030302111311
520123113031
61555234245
7333044354
oct114622565
941778882
1020129141
11103a935a
1268a8985
13422a146
14295d99b
151b792cb
hex1332575

20129141 has 2 divisors, whose sum is σ = 20129142. Its totient is φ = 20129140.

The previous prime is 20129129. The next prime is 20129143. The reversal of 20129141 is 14192102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15570916 + 4558225 = 3946^2 + 2135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20129141 is a prime.

Together with 20129143, 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 (20129143) 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, 10064570 + 10064571.

It is an arithmetic number, because the mean of its divisors is an integer number (10064571).

Almost surely, 220129141 is an apocalyptic number.

It is an amenable number.

20129141 is a deficient number, since it is larger than the sum of its proper divisors (1).

20129141 is an equidigital number, since it uses as much as digits as its factorization.

20129141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 20129141 is about 4486.5511253077. The cubic root of 20129141 is about 272.0247463428.

The spelling of 20129141 in words is "twenty million, one hundred twenty-nine thousand, one hundred forty-one".