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21300065 = 517298641
BaseRepresentation
bin101000101000…
…0001101100001
31111002011012022
41101100031201
520423100230
62040311225
7346022213
oct121201541
944064168
1021300065
1111029066
127172515
13454a0b7
142b865b3
151d0b1e5
hex1450361

21300065 has 16 divisors (see below), whose sum is σ = 28000080. Its totient is φ = 15482880.

The previous prime is 21300061. The next prime is 21300077. The reversal of 21300065 is 56000312.

It can be written as a sum of positive squares in 8 ways, for example, as 1014049 + 20286016 = 1007^2 + 4504^2 .

It is not a de Polignac number, because 21300065 - 22 = 21300061 is a prime.

It is a super-3 number, since 3×213000653 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (21300061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1856 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (1750005).

Almost surely, 221300065 is an apocalyptic number.

It is an amenable number.

21300065 is a deficient number, since it is larger than the sum of its proper divisors (6700015).

21300065 is a wasteful number, since it uses less digits than its factorization.

21300065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 21300065 is about 4615.1993456404. The cubic root of 21300065 is about 277.2002661464.

Adding to 21300065 its reverse (56000312), we get a palindrome (77300377).

The spelling of 21300065 in words is "twenty-one million, three hundred thousand, sixty-five".

Divisors: 1 5 17 29 85 145 493 2465 8641 43205 146897 250589 734485 1252945 4260013 21300065