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213300321 = 31323401593
BaseRepresentation
bin11001011011010…
…11010001100001
3112212100210000220
430231223101201
5414101102241
633055433253
75200010553
oct1455532141
9485323026
10213300321
11aa447763
125b525829
1335263110
14204854d3
1513ad5166
hexcb6b461

213300321 has 32 divisors (see below), whose sum is σ = 320931072. Its totient is φ = 125030400.

The previous prime is 213300317. The next prime is 213300341. The reversal of 213300321 is 123003312.

213300321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213300321 - 22 = 213300317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213300321.

It is not an unprimeable number, because it can be changed into a prime (213300341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359401 + ... + 359993.

It is an arithmetic number, because the mean of its divisors is an integer number (10029096).

Almost surely, 2213300321 is an apocalyptic number.

It is an amenable number.

213300321 is a deficient number, since it is larger than the sum of its proper divisors (107630751).

213300321 is a wasteful number, since it uses less digits than its factorization.

213300321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213300321 is about 14604.8047231040. The cubic root of 213300321 is about 597.4898101120.

Adding to 213300321 its reverse (123003312), we get a palindrome (336303633).

The spelling of 213300321 in words is "two hundred thirteen million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 13 23 39 69 299 401 593 897 1203 1779 5213 7709 9223 13639 15639 23127 27669 40917 119899 177307 237793 359697 531921 713379 3091309 5469239 9273927 16407717 71100107 213300321