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4111221114 = 23271121320743
BaseRepresentation
bin1111010100001100…
…0100000101111010
3101121111222200010200
43311003010011322
531404433033424
61515541423030
7203610542250
oct36503040572
911544880120
104111221114
11181a74a300
12968a0aa76
13506993820
142b00265d0
15190de48c9
hexf50c417a

4111221114 has 144 divisors (see below), whose sum is σ = 12051102336. Its totient is φ = 985659840.

The previous prime is 4111221097. The next prime is 4111221119.

4111221114 is nontrivially palindromic in base 10.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111221119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187827 + ... + 208569.

Almost surely, 24111221114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111221114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025551168).

4111221114 is an abundant number, since it is smaller than the sum of its proper divisors (7939881222).

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

4111221114 is a wasteful number, since it uses less digits than its factorization.

4111221114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20793 (or 20779 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 4111221114 is about 64118.8046831817. The cubic root of 4111221114 is about 1601.9794659471.

It can be divided in two parts, 41112 and 21114, that added together give a palindrome (62226).

The spelling of 4111221114 in words is "four billion, one hundred eleven million, two hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 20743 22022 28314 33033 41486 62229 66066 99099 124458 145201 186687 198198 228173 269659 290402 373374 435603 456346 539318 684519 808977 871206 1306809 1369038 1597211 1617954 1887613 2053557 2426931 2509903 2613618 2966249 3194422 3775226 4107114 4791633 4853862 5019806 5662839 5932498 7529709 8898747 9583266 11325678 14374899 15059418 16988517 17569321 17797494 20763743 22589127 26696241 28749798 32628739 33977034 35138642 41527486 45178254 52707963 53392482 62291229 65257478 97886217 105415926 124582458 158123889 186873687 195772434 228401173 293658651 316247778 373747374 456802346 587317302 685203519 1370407038 2055610557 4111221114