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111132234400 = 25521122955147
BaseRepresentation
bin110011101111111111…
…1110101001010100000
3101121211222220102222111
41213133333311022200
53310044323000100
6123015313245104
711012650256245
oct1473777651240
9347758812874
10111132234400
1143149281620
1219655b63794
13a630c558a5
1455437135cc
152d566e96ba
hex19dfff52a0

111132234400 has 144 divisors (see below), whose sum is σ = 297263161440. Its totient is φ = 40234521600.

The previous prime is 111132234329. The next prime is 111132234401. The reversal of 111132234400 is 4432231111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (111132234401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987627 + ... + 2042773.

It is an arithmetic number, because the mean of its divisors is an integer number (2064327510).

Almost surely, 2111132234400 is an apocalyptic number.

111132234400 is a gapful number since it is divisible by the number (10) 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 111132234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148631580720).

111132234400 is an abundant number, since it is smaller than the sum of its proper divisors (186130927040).

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

111132234400 is a wasteful number, since it uses less digits than its factorization.

111132234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55407 (or 55394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 111132234400 its reverse (4432231111), we get a palindrome (115564465511).

The spelling of 111132234400 in words is "one hundred eleven billion, one hundred thirty-two million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 229 275 352 400 440 458 550 800 880 916 1100 1145 1760 1832 2200 2290 2519 3664 4400 4580 5038 5725 7328 8800 9160 10076 11450 12595 18320 20152 22900 25190 36640 40304 45800 50380 55147 62975 80608 91600 100760 110294 125950 183200 201520 220588 251900 275735 403040 441176 503800 551470 606617 882352 1007600 1102940 1213234 1378675 1764704 2015200 2205880 2426468 2757350 3033085 4411760 4852936 5514700 6066170 8823520 9705872 11029400 12132340 12628663 15165425 19411744 22058800 24264680 25257326 30330850 44117600 48529360 50514652 60661700 63143315 97058720 101029304 121323400 126286630 138915293 202058608 242646800 252573260 277830586 315716575 404117216 485293600 505146520 555661172 631433150 694576465 1010293040 1111322344 1262866300 1389152930 2020586080 2222644688 2525732600 2778305860 3472882325 4445289376 5051465200 5556611720 6945764650 10102930400 11113223440 13891529300 22226446880 27783058600 55566117200 111132234400