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20540101 is a prime number
BaseRepresentation
bin100111001011…
…0101011000101
31102122112201111
41032112223011
520224240401
62012125021
7336405451
oct116265305
942575644
1020540101
111065a09a
126a66771
13434220a
142a29661
151c0ae51
hex1396ac5

20540101 has 2 divisors, whose sum is σ = 20540102. Its totient is φ = 20540100.

The previous prime is 20540099. The next prime is 20540129. The reversal of 20540101 is 10104502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19589476 + 950625 = 4426^2 + 975^2 .

It is a cyclic number.

It is not a de Polignac number, because 20540101 - 21 = 20540099 is a prime.

Together with 20540099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20540141) 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, 10270050 + 10270051.

It is an arithmetic number, because the mean of its divisors is an integer number (10270051).

Almost surely, 220540101 is an apocalyptic number.

It is an amenable number.

20540101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20540101 is an equidigital number, since it uses as much as digits as its factorization.

20540101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 20540101 is about 4532.1188201547. The cubic root of 20540101 is about 273.8635235944.

Adding to 20540101 its reverse (10104502), we get a palindrome (30644603).

The spelling of 20540101 in words is "twenty million, five hundred forty thousand, one hundred one".