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21000222110100 = 22352195416810073
BaseRepresentation
bin1001100011001011111101…
…10001110111000110010100
32202100121020120211021220210
410301211332301313012110
510223031423330010400
6112355211401125420
74265134036463142
oct461457661670624
982317216737823
1021000222110100
1167671649a75a2
122431b97a89870
13b9440a5a856c
145285b7da0592
152663e5d72950
hex13197ec77194

21000222110100 has 144 divisors (see below), whose sum is σ = 64076803474880. Its totient is φ = 5295511987200.

The previous prime is 21000222109931. The next prime is 21000222110117. The reversal of 21000222110100 is 101122200012.

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 47 ways as a sum of consecutive naturals, for example, 321337 + ... + 6488736.

Almost surely, 221000222110100 is an apocalyptic number.

21000222110100 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 21000222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32038401737440).

21000222110100 is an abundant number, since it is smaller than the sum of its proper divisors (43076581364780).

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

21000222110100 is a wasteful number, since it uses less digits than its factorization.

21000222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810650 (or 6810643 counting only the distinct ones).

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

Adding to 21000222110100 its reverse (101122200012), we get a palindrome (21101344310112).

The spelling of 21000222110100 in words is "twenty-one trillion, two hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 541 570 950 1082 1140 1425 1623 1900 2164 2705 2850 3246 5410 5700 6492 8115 10279 10820 13525 16230 20558 27050 30837 32460 40575 41116 51395 54100 61674 81150 102790 123348 154185 162300 205580 256975 308370 513950 616740 770925 1027900 1541850 3083700 6810073 13620146 20430219 27240292 34050365 40860438 68100730 81720876 102151095 129391387 136201460 170251825 204302190 258782774 340503650 388174161 408604380 510755475 517565548 646956935 681007300 776348322 1021510950 1293913870 1552696644 1940870805 2043021900 2587827740 3234784675 3684249493 3881741610 6469569350 7368498986 7763483220 9704354025 11052748479 12939138700 14736997972 18421247465 19408708050 22105496958 36842494930 38817416100 44210993916 55263742395 70000740367 73684989860 92106237325 110527484790 140001480734 184212474650 210002221101 221054969580 276318711975 280002961468 350003701835 368424949300 420004442202 552637423950 700007403670 840008884404 1050011105505 1105274847900 1400014807340 1750018509175 2100022211010 3500037018350 4200044422020 5250055527525 7000074036700 10500111055050 21000222110100