Search a number
-
+
211120211200100 = 2252106318671063781
BaseRepresentation
bin110000000000001101000001…
…001100011000100001100100
31000200111220011111212102110012
4300000031001030120201210
5210132443143031400400
62025003141444145352
762316634434036236
oct6000150114304144
91020456144772405
10211120211200100
11612a664036a114
121b818617698258
1390a5720576467
143a1c3b659c256
151961ac401bd35
hexc00341318864

211120211200100 has 72 divisors (see below), whose sum is σ = 458807883041088. Its totient is φ = 84323372630400.

The previous prime is 211120211200043. The next prime is 211120211200111. The reversal of 211120211200100 is 1002112021112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197930210 + ... + 198993990.

It is an arithmetic number, because the mean of its divisors is an integer number (6372331708904).

Almost surely, 2211120211200100 is an apocalyptic number.

211120211200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120211200100 is an abundant number, since it is smaller than the sum of its proper divisors (247687671840988).

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

211120211200100 is a wasteful number, since it uses less digits than its factorization.

211120211200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066725 (or 1066718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211120211200100 its reverse (1002112021112), we get a palindrome (212122323221212).

The spelling of 211120211200100 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1063 1867 2126 3734 4252 5315 7468 9335 10630 18670 21260 26575 37340 46675 53150 93350 106300 186700 1063781 1984621 2127562 3969242 4255124 5318905 7938484 9923105 10637810 19846210 21275620 26594525 39692420 49615525 53189050 99231050 106378100 198462100 1130799203 1986079127 2261598406 3972158254 4523196812 5653996015 7944316508 9930395635 11307992030 19860791270 22615984060 28269980075 39721582540 49651978175 56539960150 99303956350 113079920300 198607912700 2111202112001 4222404224002 8444808448004 10556010560005 21112021120010 42224042240020 52780052800025 105560105600050 211120211200100