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211012221210 = 23572939787277
BaseRepresentation
bin1100010010000101001…
…1101111100100011010
3202011122210201111002020
43010201103233210122
511424123112034320
6240534312115310
721150036200130
oct3044123574432
9664583644066
10211012221210
1181542996a6a
1234a8b695b36
1316b8a9353bb
14a2da853750
155750129940
hex31214ef91a

211012221210 has 128 divisors (see below), whose sum is σ = 600249208320. Its totient is φ = 46450381824.

The previous prime is 211012221191. The next prime is 211012221271. The reversal of 211012221210 is 12122210112.

211012221210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211012221210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2374092 + ... + 2461368.

It is an arithmetic number, because the mean of its divisors is an integer number (4689446940).

Almost surely, 2211012221210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300124604160).

211012221210 is an abundant number, since it is smaller than the sum of its proper divisors (389236987110).

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

211012221210 is a wasteful number, since it uses less digits than its factorization.

211012221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87720.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211012221210 its reverse (12122210112), we get a palindrome (223134431322).

The spelling of 211012221210 in words is "two hundred eleven billion, twelve million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 397 406 435 609 794 870 1015 1191 1218 1985 2030 2382 2779 3045 3970 5558 5955 6090 8337 11513 11910 13895 16674 23026 27790 34539 41685 57565 69078 80591 83370 87277 115130 161182 172695 174554 241773 261831 345390 402955 436385 483546 523662 610939 805910 872770 1208865 1221878 1309155 1832817 2417730 2531033 2618310 3054695 3665634 5062066 6109390 7593099 9164085 12655165 15186198 17717231 18328170 25310330 34648969 35434462 37965495 53151693 69297938 75930990 88586155 103946907 106303386 173244845 177172310 207893814 242542783 265758465 346489690 485085566 519734535 531516930 727628349 1004820101 1039469070 1212713915 1455256698 2009640202 2425427830 3014460303 3638141745 5024100505 6028920606 7033740707 7276283490 10048201010 14067481414 15072301515 21101222121 30144603030 35168703535 42202444242 70337407070 105506110605 211012221210