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212200110110100 = 223527195318298499
BaseRepresentation
bin110000001111111010110000…
…001011110011010110010100
31000211100010120112012000112010
4300033322300023303112110
5210303141311142010400
62031151215041424220
762460644355234660
oct6017726013632624
91024303515160463
10212200110110100
116168261a125732
121b97197763b070
1391534cca41128
143a5877c1878a0
15197ec29e34450
hexc0feb02f3594

212200110110100 has 144 divisors (see below), whose sum is σ = 738605295680000. Its totient is φ = 45950099022720.

The previous prime is 212200110110059. The next prime is 212200110110141. The reversal of 212200110110100 is 1011011002212.

212200110110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212200110110059) and next prime (212200110110141).

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, 2659109350 + ... + 2659189149.

Almost surely, 2212200110110100 is an apocalyptic number.

212200110110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200110110100 is an abundant number, since it is smaller than the sum of its proper divisors (526405185569900).

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

212200110110100 is a wasteful number, since it uses less digits than its factorization.

212200110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318298542 (or 5318298535 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212200110110100 its reverse (1011011002212), we get a palindrome (213211121112312).

The spelling of 212200110110100 in words is "two hundred twelve trillion, two hundred billion, one hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 5318298499 10636596998 15954895497 21273193996 26591492495 31909790994 37228089493 53182984990 63819581988 74456178986 79774477485 101047671481 106365969980 111684268479 132957462475 148912357972 159548954970 186140447465 202095342962 223368536958 265914924950 303143014443 319097909940 372280894930 398872387425 404190685924 446737073916 505238357405 531829849900 558421342395 606286028886 707333700367 744561789860 797744774850 930702237325 1010476714810 1116842684790 1212572057772 1414667400734 1515715072215 1595489549700 1861404474650 2020953429620 2122001101101 2233685369580 2526191787025 2792106711975 2829334801468 3031430144430 3536668501835 3722808949300 4244002202202 5052383574050 5584213423950 6062860288860 7073337003670 7578575361075 8488004404404 10104767148100 10610005505505 11168426847900 14146674007340 15157150722150 17683342509175 21220011011010 30314301444300 35366685018350 42440022022020 53050027527525 70733370036700 106100055055050 212200110110100