Search a number
-
+
111120121220 = 225971013171789
BaseRepresentation
bin110011101111101000…
…1100111110110000100
3101121211011010000211012
41213133101213312010
53310033222334340
6123014201501352
711012442305663
oct1473721476604
9347734100735
10111120121220
1143142458829
1219651aa1858
13a62b5a4224
145541c7cdda
152d55605565
hex19df467d84

111120121220 has 96 divisors (see below), whose sum is σ = 238976771040. Its totient is φ = 43392614400.

The previous prime is 111120121207. The next prime is 111120121243. The reversal of 111120121220 is 22121021111.

It can be written as a sum of positive squares in 16 ways, for example, as 4180656964 + 106939464256 = 64658^2 + 327016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111120121195 and 111120121204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62112086 + ... + 62113874.

It is an arithmetic number, because the mean of its divisors is an integer number (2489341365).

Almost surely, 2111120121220 is an apocalyptic number.

111120121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111120121220 is an abundant number, since it is smaller than the sum of its proper divisors (127856649820).

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

111120121220 is a wasteful number, since it uses less digits than its factorization.

111120121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2311 counting only the distinct ones).

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

Adding to 111120121220 its reverse (22121021111), we get a palindrome (133241142331).

The spelling of 111120121220 in words is "one hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 101 194 202 317 388 404 485 505 634 970 1010 1268 1585 1789 1940 2020 3170 3578 6340 7156 8945 9797 17890 19594 30749 32017 35780 39188 48985 61498 64034 97970 122996 128068 153745 160085 173533 180689 195940 307490 320170 347066 361378 567113 614980 640340 694132 722756 867665 903445 1134226 1735330 1806890 2268452 2835565 3105649 3470660 3613780 5671130 6211298 11342260 12422596 15528245 17526833 31056490 35053666 55009961 57278413 62112980 70107332 87634165 110019922 114556826 175268330 220039844 229113652 275049805 286392065 350536660 550099610 572784130 1100199220 1145568260 5556006061 11112012122 22224024244 27780030305 55560060610 111120121220