Search a number
-
+
211111112233112 = 237131579531938149
BaseRepresentation
bin110000000000000100100010…
…110110100101000010011000
31000200111000200101120000020212
4300000010202312211002120
5210132321024212424422
62024555034525510252
762316163110064550
oct6000044266450230
91020430611500225
10211111112233112
11612a27a1222593
121b8168b8412388
1390a4900454920
143a1bb91d84160
1519617402e19e2
hexc00122da5098

211111112233112 has 128 divisors (see below), whose sum is σ = 490797259344000. Its totient is φ = 82897411903488.

The previous prime is 211111112233057. The next prime is 211111112233141. The reversal of 211111112233112 is 211332211111112.

It is a super-2 number, since 2×2111111122331122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 107955014 + ... + 109893162.

It is an arithmetic number, because the mean of its divisors is an integer number (3834353588625).

Almost surely, 2211111112233112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111112233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245398629672000).

211111112233112 is an abundant number, since it is smaller than the sum of its proper divisors (279686147110888).

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

211111112233112 is a wasteful number, since it uses less digits than its factorization.

211111112233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939285 (or 1939281 counting only the distinct ones).

The product of its digits is 144, while the sum is 23.

Adding to 211111112233112 its reverse (211332211111112), we get a palindrome (422443323344224).

The spelling of 211111112233112 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred twelve million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 182 314 364 628 728 953 1099 1256 1906 2041 2198 3812 4082 4396 6671 7624 8164 8792 12389 13342 14287 16328 24778 26684 28574 49556 53368 57148 86723 99112 114296 149621 173446 299242 346892 598484 693784 1047347 1196968 1938149 1945073 2094694 3876298 3890146 4189388 7752596 7780292 8378776 13567043 13615511 15505192 15560584 25195937 27134086 27231022 50391874 54268172 54462044 100783748 108536344 108924088 176371559 201567496 304289393 352743118 608578786 705486236 1217157572 1410972472 1847055997 2130025751 2434315144 3694111994 3955762109 4260051502 7388223988 7911524218 8520103004 12929391979 14776447976 15823048436 17040206008 24011727961 25858783958 27690334763 31646096872 48023455922 51717567916 55380669526 96046911844 103435135832 110761339052 168082095727 192093823688 221522678104 289987791529 336164191454 579975583058 672328382908 1159951166116 1344656765816 2029914540703 2319902332232 3769841289877 4059829081406 7539682579754 8119658162812 15079365159508 16239316325624 26388889029139 30158730319016 52777778058278 105555556116556 211111112233112