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213330312 = 233213593863
BaseRepresentation
bin11001011011100…
…10100110001000
3112212102022011200
430231302212020
5414103032222
633100224200
75200164156
oct1455624610
9485368150
10213330312
11aa468248
125b53b060
1335273970
14204923d6
1513addeac
hexcb72988

213330312 has 96 divisors (see below), whose sum is σ = 632923200. Its totient is φ = 64510848.

The previous prime is 213330307. The next prime is 213330317. The reversal of 213330312 is 213033312.

213330312 is a `hidden beast` number, since 21 + 3 + 330 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (213330307) and next prime (213330317).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330317) 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 23 ways as a sum of consecutive naturals, for example, 53293 + ... + 57155.

It is an arithmetic number, because the mean of its divisors is an integer number (6592950).

Almost surely, 2213330312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316461600).

213330312 is an abundant number, since it is smaller than the sum of its proper divisors (419592888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213330312 is a wasteful number, since it uses less digits than its factorization.

213330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213330312 is about 14605.8314381620. The cubic root of 213330312 is about 597.5178120657.

Adding to 213330312 its reverse (213033312), we get a palindrome (426363624).

It can be divided in two parts, 21 and 3330312, that added together give a palindrome (3330333).

The spelling of 213330312 in words is "two hundred thirteen million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 531 708 767 936 1062 1416 1534 2124 2301 3068 3863 4248 4602 6136 6903 7726 9204 11589 13806 15452 18408 23178 27612 30904 34767 46356 50219 55224 69534 92712 100438 139068 150657 200876 227917 278136 301314 401752 451971 455834 602628 683751 903942 911668 1205256 1367502 1807884 1823336 2051253 2735004 2962921 3615768 4102506 5470008 5925842 8205012 8888763 11851684 16410024 17777526 23703368 26666289 35555052 53332578 71110104 106665156 213330312