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211210201200 = 243521429123169
BaseRepresentation
bin1100010010110100011…
…0111110100001110000
3202012011121020220120110
43010231012332201300
511430024302414300
6241010103341320
721154662042225
oct3045506764160
9665147226513
10211210201200
118163471a299
1234b25a51840
1316bbc96311b
14a318c6b94c
1557626d5550
hex312d1be870

211210201200 has 120 divisors (see below), whose sum is σ = 677055636400. Its totient is φ = 56282849280.

The previous prime is 211210201159. The next prime is 211210201273. The reversal of 211210201200 is 2102012112.

211210201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1653216 + ... + 1776384.

Almost surely, 2211210201200 is an apocalyptic number.

211210201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338527818200).

211210201200 is an abundant number, since it is smaller than the sum of its proper divisors (465845435200).

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

211210201200 is a wasteful number, since it uses less digits than its factorization.

211210201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124619 (or 124608 counting only the distinct ones).

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

Adding to 211210201200 its reverse (2102012112), we get a palindrome (213312213312).

The spelling of 211210201200 in words is "two hundred eleven billion, two hundred ten million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1429 2858 4287 5716 7145 8574 11432 14290 17148 21435 22864 28580 34296 35725 42870 57160 68592 71450 85740 107175 114320 123169 142900 171480 214350 246338 285800 342960 369507 428700 492676 571600 615845 739014 857400 985352 1231690 1478028 1714800 1847535 1970704 2463380 2956056 3079225 3695070 4926760 5912112 6158450 7390140 9237675 9853520 12316900 14780280 18475350 24633800 29560560 36950700 49267600 73901400 147802800 176008501 352017002 528025503 704034004 880042505 1056051006 1408068008 1760085010 2112102012 2640127515 2816136016 3520170020 4224204024 4400212525 5280255030 7040340040 8448408048 8800425050 10560510060 13200637575 14080680080 17600850100 21121020120 26401275150 35201700200 42242040240 52802550300 70403400400 105605100600 211210201200