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211101110120112 = 24310750119820093
BaseRepresentation
bin101111111111111011001110…
…101011100010111010110000
31000200110001212022211000122020
4233333323032223202322300
5210132140033142320422
62024550302225511440
762315360205402342
oct5777731653427260
91020401768730566
10211101110120112
11612995292a4aa3
121b8149867a2580
1390a39981a7774
143a1b4c3831292
15196135716795c
hexbffeceae2eb0

211101110120112 has 80 divisors (see below), whose sum is σ = 550452866261760. Its totient is φ = 69707924971776.

The previous prime is 211101110120063. The next prime is 211101110120129. The reversal of 211101110120112 is 211021011101112.

It is a junction number, because it is equal to n+sod(n) for n = 211101110120091 and 211101110120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257001138 + ... + 257821230.

It is an arithmetic number, because the mean of its divisors is an integer number (6880660828272).

Almost surely, 2211101110120112 is an apocalyptic number.

It is an amenable number.

211101110120112 is an abundant number, since it is smaller than the sum of its proper divisors (339351756141648).

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

211101110120112 is a wasteful number, since it uses less digits than its factorization.

211101110120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870330 (or 870324 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211101110120112 its reverse (211021011101112), we get a palindrome (422122121221224).

The spelling of 211101110120112 in words is "two hundred eleven trillion, one hundred one billion, one hundred ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 50119 100238 150357 200476 300714 400952 601428 801904 820093 1202856 1640186 2405712 2460279 3280372 4920558 5362733 6560744 9841116 10725466 13121488 16088199 19682232 21450932 32176398 39364464 42901864 64352796 85803728 87749951 128705592 175499902 257411184 263249853 350999804 526499706 701999608 1052999412 1403999216 2105998824 4211997648 41102241067 82204482134 123306723201 164408964268 246613446402 328817928536 493226892804 657635857072 986453785608 1972907571216 4397939794169 8795879588338 13193819382507 17591759176676 26387638765014 35183518353352 52775277530028 70367036706704 105550555060056 211101110120112