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111132220000 = 255454110271
BaseRepresentation
bin110011101111111111…
…1110001101001100000
3101121211222212201020011
41213133333301221200
53310044322020000
6123015313054304
711012650166254
oct1473777615140
9347758781204
10111132220000
114314927181a
1219655b57394
13a630c4c179
14554370c264
152d566e52ba
hex19dfff1a60

111132220000 has 120 divisors (see below), whose sum is σ = 273933963072. Its totient is φ = 44366400000.

The previous prime is 111132219941. The next prime is 111132220007. The reversal of 111132220000 is 22231111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111132220007) 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 19 ways as a sum of consecutive naturals, for example, 10814865 + ... + 10825135.

Almost surely, 2111132220000 is an apocalyptic number.

111132220000 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 111132220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136966981536).

111132220000 is an abundant number, since it is smaller than the sum of its proper divisors (162801743072).

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

111132220000 is an equidigital number, since it uses as much as digits as its factorization.

111132220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 111132220000 its reverse (22231111), we get a palindrome (111154451111).

The spelling of 111132220000 in words is "one hundred eleven billion, one hundred thirty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 541 625 800 1000 1082 1250 2000 2164 2500 2705 4000 4328 5000 5410 8656 10000 10271 10820 13525 17312 20000 20542 21640 27050 41084 43280 51355 54100 67625 82168 86560 102710 108200 135250 164336 205420 216400 256775 270500 328672 338125 410840 432800 513550 541000 676250 821680 1027100 1082000 1283875 1352500 1643360 2054200 2164000 2567750 2705000 4108400 5135500 5410000 5556611 6419375 8216800 10271000 10820000 11113222 12838750 20542000 22226444 25677500 27783055 41084000 44452888 51355000 55566110 88905776 102710000 111132220 138915275 177811552 205420000 222264440 277830550 444528880 555661100 694576375 889057760 1111322200 1389152750 2222644400 2778305500 3472881875 4445288800 5556611000 6945763750 11113222000 13891527500 22226444000 27783055000 55566110000 111132220000