Search a number
-
+
221111101200100 = 225233729272241599
BaseRepresentation
bin110010010001100101110000…
…101001001001011011100100
31001222220000101211000201122011
4302101211300221021123210
5212440141013401400400
62102133012042244004
764400515132611016
oct6221456051113344
91058800354021564
10221111101200100
11644a8767300311
12209709904b6604
13964b8c2219327
143c85b978401b6
151a869192a58ba
hexc91970a496e4

221111101200100 has 72 divisors (see below), whose sum is σ = 481399488460800. Its totient is φ = 88151827653120.

The previous prime is 221111101200079. The next prime is 221111101200133. The reversal of 221111101200100 is 1002101111122.

It is a happy number.

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, 97519101 + ... + 99760699.

It is an arithmetic number, because the mean of its divisors is an integer number (6686104006400).

Almost surely, 2221111101200100 is an apocalyptic number.

221111101200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111101200100 is an abundant number, since it is smaller than the sum of its proper divisors (260288387260700).

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

221111101200100 is a wasteful number, since it uses less digits than its factorization.

221111101200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244877 (or 2244870 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221111101200100 its reverse (1002101111122), we get a palindrome (222113202311222).

The spelling of 221111101200100 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 2927 3370 5854 6740 8425 11708 14635 16850 29270 33700 58540 73175 146350 292700 986399 1972798 2241599 3945596 4483198 4931995 8966396 9863990 11207995 19727980 22415990 24659975 44831980 49319950 56039975 98639900 112079950 224159900 755418863 1510837726 3021675452 3777094315 6561160273 7554188630 13122320546 15108377260 18885471575 26244641092 32805801365 37770943150 65611602730 75541886300 131223205460 164029006825 328058013650 656116027300 2211111012001 4422222024002 8844444048004 11055555060005 22111110120010 44222220240020 55277775300025 110555550600050 221111101200100