Search a number
-
+
11100100220118 = 2327139173738757
BaseRepresentation
bin1010000110000111000110…
…0001111101010011010110
31110022011022001212201201100
42201201301201331103112
52423331001124020433
635335152102410530
72223645555051630
oct241416141752326
943264261781640
1011100100220118
11359a587216958
1212b3335130a46
13626972923530
142a5367a43a50
15143b145ddb13
hexa187187d4d6

11100100220118 has 96 divisors (see below), whose sum is σ = 29603534216256. Its totient is φ = 2927175853824.

The previous prime is 11100100219919. The next prime is 11100100220119. The reversal of 11100100220118 is 81102200100111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11100100220118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100220119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14655996 + ... + 15394752.

It is an arithmetic number, because the mean of its divisors is an integer number (308370148086).

Almost surely, 211100100220118 is an apocalyptic number.

11100100220118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11100100220118 is an abundant number, since it is smaller than the sum of its proper divisors (18503433996138).

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

11100100220118 is a wasteful number, since it uses less digits than its factorization.

11100100220118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747958 (or 747955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11100100220118 its reverse (81102200100111), we get a palindrome (92202300320229).

The spelling of 11100100220118 in words is "eleven trillion, one hundred billion, one hundred million, two hundred twenty thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 9173 18346 27519 55038 64211 82557 119249 128422 165114 192633 238498 357747 385266 577899 715494 738757 834743 1073241 1155798 1477514 1669486 2146482 2216271 2504229 4432542 5008458 5171299 6648813 7512687 9603841 10342598 13297626 15025374 15513897 19207682 28811523 31027794 46541691 57623046 67226887 86434569 93083382 134453774 172869138 201680661 403361322 605041983 1210083966 6776617961 13553235922 20329853883 40659707766 47436325727 60989561649 88096033493 94872651454 121979123298 142308977181 176192066986 264288100479 284617954362 426926931543 528576200958 616672234451 792864301437 853853863086 1233344468902 1585728602874 1850016703353 3700033406706 5550050110059 11100100220118