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212100303330 = 23354119996281
BaseRepresentation
bin1100010110001000101…
…0011100100111100010
3202021110122010210011000
43011202022130213202
511433340134201310
6241234301332430
721216020555166
oct3054212344742
9667418123130
10212100303330
1181a51101193
1235133b67116
13170021a2586
14a3a116cca6
1557b59094c0
hex316229c9e2

212100303330 has 128 divisors (see below), whose sum is σ = 582313536000. Its totient is φ = 54902707200.

The previous prime is 212100303329. The next prime is 212100303341. The reversal of 212100303330 is 33303001212.

212100303330 is a `hidden beast` number, since 21 + 2 + 10 + 0 + 303 + 330 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2154790 + ... + 2251070.

It is an arithmetic number, because the mean of its divisors is an integer number (4549324500).

Almost surely, 2212100303330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291156768000).

212100303330 is an abundant number, since it is smaller than the sum of its proper divisors (370213232670).

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

212100303330 is a wasteful number, since it uses less digits than its factorization.

212100303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96537 (or 96531 counting only the distinct ones).

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

Adding to 212100303330 its reverse (33303001212), we get a palindrome (245403304542).

The spelling of 212100303330 in words is "two hundred twelve billion, one hundred million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 199 205 246 270 369 398 410 597 615 738 995 1107 1194 1230 1791 1845 1990 2214 2985 3582 3690 5373 5535 5970 8159 8955 10746 11070 16318 17910 24477 26865 40795 48954 53730 73431 81590 96281 122385 146862 192562 220293 244770 288843 367155 440586 481405 577686 734310 866529 962810 1101465 1444215 1733058 2202930 2599587 2888430 3947521 4332645 5199174 7895042 8665290 11842563 12997935 19159919 19737605 23685126 25995870 35527689 38319838 39475210 57479757 59212815 71055378 95799595 106583067 114959514 118425630 172439271 177638445 191599190 213166134 287398785 344878542 355276890 517317813 532915335 574797570 785556679 862196355 1034635626 1065830670 1571113358 1724392710 2356670037 2586589065 3927783395 4713340074 5173178130 7070010111 7855566790 11783350185 14140020222 21210030333 23566700370 35350050555 42420060666 70700101110 106050151665 212100303330