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21300101 is a prime number
BaseRepresentation
bin101000101000…
…0001110000101
31111002011020122
41101100032011
520423100401
62040311325
7346022264
oct121201605
944064218
1021300101
1111029099
127172545
13454a114
142b865db
151d0b21b
hex1450385

21300101 has 2 divisors, whose sum is σ = 21300102. Its totient is φ = 21300100.

The previous prime is 21300089. The next prime is 21300113. The reversal of 21300101 is 10100312.

It is a balanced prime because it is at equal distance from previous prime (21300089) and next prime (21300113).

It can be written as a sum of positive squares in only one way, i.e., 17859076 + 3441025 = 4226^2 + 1855^2 .

It is a cyclic number.

It is not a de Polignac number, because 21300101 - 218 = 21037957 is a prime.

It is a super-2 number, since 2×213001012 = 907388605220402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21300401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10650050 + 10650051.

It is an arithmetic number, because the mean of its divisors is an integer number (10650051).

Almost surely, 221300101 is an apocalyptic number.

It is an amenable number.

21300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21300101 is an equidigital number, since it uses as much as digits as its factorization.

21300101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 21300101 is about 4615.2032457954. The cubic root of 21300101 is about 277.2004223150.

Adding to 21300101 its reverse (10100312), we get a palindrome (31400413).

The spelling of 21300101 in words is "twenty-one million, three hundred thousand, one hundred one".