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21300201 = 32131710709
BaseRepresentation
bin101000101000…
…0001111101001
31111002011101100
41101100033221
520423101301
62040312013
7346022466
oct121201751
944064340
1021300201
111102917a
127172609
13454a190
142b8666d
151d0b286
hex14503e9

21300201 has 24 divisors (see below), whose sum is σ = 35085960. Its totient is φ = 12335616.

The previous prime is 21300199. The next prime is 21300203. The reversal of 21300201 is 10200312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21300199) and next prime (21300203).

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 13682601 = 2760^2 + 3699^2 .

It is not a de Polignac number, because 21300201 - 21 = 21300199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 221300201 is an apocalyptic number.

It is an amenable number.

21300201 is a deficient number, since it is larger than the sum of its proper divisors (13785759).

21300201 is a wasteful number, since it uses less digits than its factorization.

21300201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21300201 is about 4615.2140795417. The cubic root of 21300201 is about 277.2008561157.

Adding to 21300201 its reverse (10200312), we get a palindrome (31500513).

The spelling of 21300201 in words is "twenty-one million, three hundred thousand, two hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 10709 32127 96381 139217 182053 417651 546159 1252953 1638477 2366689 7100067 21300201