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212221110200 = 235211373258617
BaseRepresentation
bin1100010110100101011…
…1010010011110111000
3202021210001110102000112
43011221113102132320
511434112101011300
6241254254523452
721222015446621
oct3055127223670
9667701412015
10212221110200
1182003314180
1235168506588
131702121c828
14a3b3218a48
1557c131de35
hex31695d27b8

212221110200 has 96 divisors (see below), whose sum is σ = 539715076560. Its totient is φ = 76964121600.

The previous prime is 212221110187. The next prime is 212221110217. The reversal of 212221110200 is 2011122212.

It is a super-2 number, since 2×2122211102002 (a number of 23 digits) contains 22 as substring.

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, 691292 + ... + 949908.

Almost surely, 2212221110200 is an apocalyptic number.

212221110200 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 212221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269857538280).

212221110200 is an abundant number, since it is smaller than the sum of its proper divisors (327493966360).

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

212221110200 is a wasteful number, since it uses less digits than its factorization.

212221110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259017 (or 259008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221110200 its reverse (2011122212), we get a palindrome (214232232412).

The spelling of 212221110200 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 373 440 550 746 1100 1492 1865 2200 2984 3730 4103 7460 8206 9325 14920 16412 18650 20515 32824 37300 41030 74600 82060 102575 164120 205150 258617 410300 517234 820600 1034468 1293085 2068936 2586170 2844787 5172340 5689574 6465425 10344680 11379148 12930850 14223935 22758296 25861700 28447870 51723400 56895740 71119675 96464141 113791480 142239350 192928282 284478700 385856564 482320705 568957400 771713128 964641410 1061105551 1929282820 2122211102 2411603525 3858565640 4244422204 4823207050 5305527755 8488844408 9646414100 10611055510 19292828200 21222111020 26527638775 42444222040 53055277550 106110555100 212221110200