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220102012200 = 23352727486463
BaseRepresentation
bin1100110011111100011…
…0100010110100101000
3210001010021202201011210
43030333012202310220
512101232103342300
6245040301553120
721621222143400
oct3147706426450
9701107681153
10220102012200
1185387936524
12367a78757a0
13179a8b93455
14a91db5d800
155ad3141050
hex333f1a2d28

220102012200 has 144 divisors (see below), whose sum is σ = 793714913280. Its totient is φ = 50309024640.

The previous prime is 220102012187. The next prime is 220102012217. The reversal of 220102012200 is 2210201022.

220102012200 is digitally balanced in base 2, 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3713832 + ... + 3772631.

It is an arithmetic number, because the mean of its divisors is an integer number (5511909120).

Almost surely, 2220102012200 is an apocalyptic number.

220102012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102012200 is an abundant number, since it is smaller than the sum of its proper divisors (573612901080).

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

220102012200 is a wasteful number, since it uses less digits than its factorization.

220102012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486496 (or 7486480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220102012200 its reverse (2210201022), we get a palindrome (222312213222).

The spelling of 220102012200 in words is "two hundred twenty billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 7486463 14972926 22459389 29945852 37432315 44918778 52405241 59891704 74864630 89837556 104810482 112296945 149729260 157215723 179675112 187161575 209620964 224593890 262026205 299458520 314431446 366836687 374323150 419241928 449187780 524052410 561484725 628862892 733673374 748646300 786078615 898375560 1048104820 1100510061 1122969450 1257725784 1310131025 1467346748 1497292600 1572157230 1834183435 2096209640 2201020122 2245938900 2620262050 2934693496 3144314460 3668366870 3930393075 4402040244 4491877800 5240524100 5502550305 6288628920 7336733740 7860786150 8804080488 9170917175 10481048200 11005100610 14673467480 15721572300 18341834350 22010201220 27512751525 31443144600 36683668700 44020402440 55025503050 73367337400 110051006100 220102012200