Search a number
-
+
111001120021100 = 225217106349613967
BaseRepresentation
bin11001001111010001110110…
…010101000001101001101100
3112120000121021220111011201002
4121033101312111001221230
5104022120243211133400
61032025113252135432
732244365142346331
oct3117216625015154
9476017256434632
10111001120021100
1132406346505561
1210548916607578
1349c248c60a87a
141d5a6a9018988
15cc75d9466ed5
hex64f476541a6c

111001120021100 has 72 divisors (see below), whose sum is σ = 255044210500800. Its totient is φ = 41788195947520.

The previous prime is 111001120021097. The next prime is 111001120021199. The reversal of 111001120021100 is 1120021100111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180486317 + ... + 181100283.

It is an arithmetic number, because the mean of its divisors is an integer number (3542280701400).

Almost surely, 2111001120021100 is an apocalyptic number.

111001120021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001120021100 is an abundant number, since it is smaller than the sum of its proper divisors (144043090479700).

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

111001120021100 is a wasteful number, since it uses less digits than its factorization.

111001120021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720347 (or 720340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111001120021100 its reverse (1120021100111), we get a palindrome (112121141121211).

The spelling of 111001120021100 in words is "one hundred eleven trillion, one billion, one hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 106349 212698 425396 531745 613967 1063490 1227934 1807933 2126980 2455868 2658725 3069835 3615866 5317450 6139670 7231732 9039665 10437439 10634900 12279340 15349175 18079330 20874878 30698350 36158660 41749756 45198325 52187195 61396700 90396650 104374390 180793300 208748780 260935975 521871950 1043743900 65294776483 130589552966 261179105932 326473882415 652947764830 1110011200211 1305895529660 1632369412075 2220022400422 3264738824150 4440044800844 5550056001055 6529477648300 11100112002110 22200224004220 27750280005275 55500560010550 111001120021100