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213331533312 = 2936711511801
BaseRepresentation
bin1100011010101110001…
…1001101111000000000
3202101122102220202011110
43012223203031320000
511443400333031222
6242000403043320
721261361054032
oct3065343157000
9671572822143
10213331533312
11825230a8527
1235418370540
131716a2ac821
14a47a8abc52
155838a6330c
hex31ab8cde00

213331533312 has 160 divisors (see below), whose sum is σ = 577632743424. Its totient is φ = 69949440000.

The previous prime is 213331533203. The next prime is 213331533313. The reversal of 213331533312 is 213335133312.

It is a self number, because there is not a number n which added to its sum of digits gives 213331533312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213331533313) 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 15 ways as a sum of consecutive naturals, for example, 118450812 + ... + 118452612.

Almost surely, 2213331533312 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 213331533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288816371712).

213331533312 is an abundant number, since it is smaller than the sum of its proper divisors (364301210112).

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

213331533312 is a wasteful number, since it uses less digits than its factorization.

213331533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3024 counting only the distinct ones).

The product of its digits is 14580, while the sum is 30.

Adding to 213331533312 its reverse (213335133312), we get a palindrome (426666666624).

The spelling of 213331533312 in words is "two hundred thirteen billion, three hundred thirty-one million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1072 1151 1536 1608 1801 2144 2302 3216 3453 3602 4288 4604 5403 6432 6906 7204 8576 9208 10806 12864 13812 14408 17152 18416 21612 25728 27624 28816 34304 36832 43224 51456 55248 57632 73664 77117 86448 102912 110496 115264 120667 147328 154234 172896 220992 230528 231351 241334 294656 308468 345792 362001 441984 461056 462702 482668 589312 616936 691584 724002 883968 922112 925404 965336 1233872 1383168 1448004 1767936 1850808 1930672 2072951 2467744 2766336 2896008 3701616 3861344 4145902 4935488 5792016 6218853 7403232 7722688 8291804 9870976 11584032 12437706 14806464 15445376 16583608 19741952 23168064 24875412 29612928 30890752 33167216 39483904 46336128 49750824 59225856 61781504 66334432 92672256 99501648 118451712 132668864 138887717 185344512 199003296 265337728 277775434 398006592 416663151 530675456 555550868 796013184 833326302 1061350912 1111101736 1592026368 1666652604 2222203472 3184052736 3333305208 4444406944 6666610416 8888813888 13333220832 17777627776 26666441664 35555255552 53332883328 71110511104 106665766656 213331533312