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111221000184 = 23374318185061
BaseRepresentation
bin110011110010101001…
…0011100011111111000
3101122002011221012202010
41213211102130133320
53310240034001214
6123032204005520
711015105621520
oct1474522343770
9348064835663
10111221000184
114319439a678
121967b8308a0
13a646464b18
14555141c680
152d5e3d0659
hex19e549c7f8

111221000184 has 128 divisors (see below), whose sum is σ = 326964718080. Its totient is φ = 30866572800.

The previous prime is 111221000183. The next prime is 111221000197. The reversal of 111221000184 is 481000122111.

111221000184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1112210001842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 111221000184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221000183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265014 + ... + 1350074.

It is an arithmetic number, because the mean of its divisors is an integer number (2554411860).

Almost surely, 2111221000184 is an apocalyptic number.

111221000184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111221000184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163482359040).

111221000184 is an abundant number, since it is smaller than the sum of its proper divisors (215743717896).

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

111221000184 is a wasteful number, since it uses less digits than its factorization.

111221000184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85301 (or 85297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 111221000184 its reverse (481000122111), we get a palindrome (592221122295).

The spelling of 111221000184 in words is "one hundred eleven billion, two hundred twenty-one million, one hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 181 258 301 344 362 516 543 602 724 903 1032 1086 1204 1267 1448 1806 2172 2408 2534 3612 3801 4344 5068 7224 7602 7783 10136 15204 15566 23349 30408 31132 46698 54481 62264 85061 93396 108962 163443 170122 186792 217924 255183 326886 340244 435848 510366 595427 653772 680488 1020732 1190854 1307544 1786281 2041464 2381708 3572562 3657623 4763416 7145124 7315246 10972869 14290248 14630492 15396041 21945738 25603361 29260984 30792082 43891476 46188123 51206722 61584164 76810083 87782952 92376246 102413444 107772287 123168328 153620166 184752492 204826888 215544574 307240332 323316861 369504984 431089148 614480664 646633722 662029763 862178296 1293267444 1324059526 1986089289 2586534888 2648119052 3972178578 4634208341 5296238104 7944357156 9268416682 13902625023 15888714312 18536833364 27805250046 37073666728 55610500092 111221000184