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210020321 = 7219721757
BaseRepresentation
bin11001000010010…
…10011111100001
3112122012010201102
430201022133201
5412231122241
632501244145
75130100100
oct1441123741
9478163642
10210020321
11a8607415
125a403655
13346851a4
141dc70037
151368839b
hexc84a7e1

210020321 has 12 divisors (see below), whose sum is σ = 245560788. Its totient is φ = 179095392.

The previous prime is 210020311. The next prime is 210020341. The reversal of 210020321 is 123020012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 200533921 + 9486400 = 14161^2 + 3080^2 .

It is a de Polignac number, because none of the positive numbers 2k-210020321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210020311) 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 in 11 ways as a sum of consecutive naturals, for example, 1226 + ... + 20531.

It is an arithmetic number, because the mean of its divisors is an integer number (20463399).

Almost surely, 2210020321 is an apocalyptic number.

It is an amenable number.

210020321 is a deficient number, since it is larger than the sum of its proper divisors (35540467).

210020321 is a wasteful number, since it uses less digits than its factorization.

210020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21968 (or 21961 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 210020321 is about 14492.0778703401. The cubic root of 210020321 is about 594.4113671084.

Adding to 210020321 its reverse (123020012), we get a palindrome (333040333).

The spelling of 210020321 in words is "two hundred ten million, twenty thousand, three hundred twenty-one".

Divisors: 1 7 49 197 1379 9653 21757 152299 1066093 4286129 30002903 210020321