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212101102200 = 233521327192449
BaseRepresentation
bin1100010110001000110…
…1011111101001111000
3202021110200122100222210
43011202031133221320
511433340340232300
6241234330415120
721216030423231
oct3054215375170
9667420570883
10212101102200
1181a515a7409
12351342914a0
13170023c2090
14a3a12da088
1557b5a16050
hex316235fa78

212101102200 has 96 divisors (see below), whose sum is σ = 708091398000. Its totient is φ = 52209500160.

The previous prime is 212101102193. The next prime is 212101102207. The reversal of 212101102200 is 2201101212.

It is an interprime number because it is at equal distance from previous prime (212101102193) and next prime (212101102207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101102207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13588425 + ... + 13604024.

Almost surely, 2212101102200 is an apocalyptic number.

212101102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101102200 is an abundant number, since it is smaller than the sum of its proper divisors (495990295800).

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

212101102200 is a wasteful number, since it uses less digits than its factorization.

212101102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27192481 (or 27192472 counting only the distinct ones).

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

Adding to 212101102200 its reverse (2201101212), we get a palindrome (214302203412).

The spelling of 212101102200 in words is "two hundred twelve billion, one hundred one million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 27192449 54384898 81577347 108769796 135962245 163154694 217539592 271924490 326309388 353501837 407886735 543848980 652618776 679811225 707003674 815773470 1060505511 1087697960 1359622450 1414007348 1631546940 1767509185 2039433675 2121011022 2719244900 2828014696 3263093880 3535018370 4078867350 4242022044 5302527555 5438489800 7070036740 8157734700 8484044088 8837545925 10605055110 14140073480 16315469400 17675091850 21210110220 26512637775 35350183700 42420220440 53025275550 70700367400 106050551100 212101102200