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213303012 = 2231321723269
BaseRepresentation
bin11001011011010…
…11111011100100
3112212100220201120
430231223323210
5414101144022
633055453540
75200021446
oct1455537344
9485326646
10213303012
11aa44978a
125b5272b0
1335264400
1420486496
1513ad5d5c
hexcb6bee4

213303012 has 144 divisors (see below), whose sum is σ = 597663360. Its totient is φ = 58865664.

The previous prime is 213303001. The next prime is 213303017. The reversal of 213303012 is 210303312.

It is a junction number, because it is equal to n+sod(n) for n = 213302982 and 213303000.

It is not an unprimeable number, because it can be changed into a prime (213303017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792814 + ... + 793082.

It is an arithmetic number, because the mean of its divisors is an integer number (4150440).

Almost surely, 2213303012 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 213303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298831680).

213303012 is an abundant number, since it is smaller than the sum of its proper divisors (384360348).

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

213303012 is a wasteful number, since it uses less digits than its factorization.

213303012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

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

The square root of 213303012 is about 14604.8968500294. The cubic root of 213303012 is about 597.4923227482.

Adding to 213303012 its reverse (210303312), we get a palindrome (423606324).

It can be divided in two parts, 21330 and 3012, that added together give a palindrome (24342).

The spelling of 213303012 in words is "two hundred thirteen million, three hundred three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 169 204 221 269 276 299 338 391 442 507 538 598 663 676 782 807 884 897 1014 1076 1173 1196 1326 1564 1614 1794 2028 2346 2652 2873 3228 3497 3588 3887 4573 4692 5083 5746 6187 6994 7774 8619 9146 10166 10491 11492 11661 12374 13719 13988 15249 15548 17238 18292 18561 20332 20982 23322 24748 27438 30498 34476 37122 41964 45461 46644 54876 59449 60996 66079 74244 80431 90922 105179 118898 132158 136383 160862 178347 181844 198237 210358 237796 241293 264316 272766 315537 321724 356694 396474 420716 482586 545532 631074 713388 772837 792948 965172 1045603 1262148 1367327 1545674 2091206 2318511 2734654 3091348 3136809 4101981 4182412 4637022 5469308 6273618 8203962 9274044 12547236 16407924 17775251 35550502 53325753 71101004 106651506 213303012