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212102211000 = 23353471504271
BaseRepresentation
bin1100010110001001000…
…1101110010110111000
3202021110202201200222110
43011202101232112320
511433341131223000
6241234410252320
721216043022001
oct3054221562670
9667422650873
10212102211000
1181a52194479
12351347270a0
13170026bc984
14a3a15081a8
1557b5b84850
hex316246e5b8

212102211000 has 128 divisors (see below), whose sum is σ = 675839324160. Its totient is φ = 55357136000.

The previous prime is 212102210939. The next prime is 212102211119. The reversal of 212102211000 is 112201212.

It is a super-2 number, since 2×2121022110002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611136 + ... + 893135.

It is an arithmetic number, because the mean of its divisors is an integer number (5279994720).

Almost surely, 2212102211000 is an apocalyptic number.

212102211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102211000 is an abundant number, since it is smaller than the sum of its proper divisors (463737113160).

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

212102211000 is a wasteful number, since it uses less digits than its factorization.

212102211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504342 (or 1504328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102211000 its reverse (112201212), we get a palindrome (212214412212).

The spelling of 212102211000 in words is "two hundred twelve billion, one hundred two million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 9400 11750 14100 17625 23500 28200 35250 47000 70500 141000 1504271 3008542 4512813 6017084 7521355 9025626 12034168 15042710 18051252 22564065 30085420 36102504 37606775 45128130 60170840 70700737 75213550 90256260 112820325 141401474 150427100 180512520 188033875 212102211 225640650 282802948 300854200 353503685 376067750 424204422 451281300 564101625 565605896 707007370 752135500 848408844 902562600 1060511055 1128203250 1414014740 1504271000 1696817688 1767518425 2121022110 2256406500 2828029480 3535036850 4242044220 4512813000 5302555275 7070073700 8484088440 8837592125 10605110550 14140147400 17675184250 21210221100 26512776375 35350368500 42420442200 53025552750 70700737000 106051105500 212102211000