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212220112111100 = 225231536961185557
BaseRepresentation
bin110000010000001101011000…
…011001011000010111111100
31000211102001012111110221121222
4300100031120121120113330
5210304003242200023400
62031204323522012512
762462253133364462
oct6020153031302774
91024361174427558
10212220112111100
11616900537a1075
121b97581a1a7138
139155369969792
143a59718830832
1519804eae48185
hexc103586585fc

212220112111100 has 144 divisors (see below), whose sum is σ = 484414543984896. Its totient is φ = 80587713024000.

The previous prime is 212220112111099. The next prime is 212220112111171. The reversal of 212220112111100 is 1111211022212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143599522 + ... + 1143785078.

It is an arithmetic number, because the mean of its divisors is an integer number (3363989888784).

Almost surely, 2212220112111100 is an apocalyptic number.

212220112111100 is a gapful number since it is divisible by the number (20) 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 212220112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242207271992448).

212220112111100 is an abundant number, since it is smaller than the sum of its proper divisors (272194431873796).

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

212220112111100 is a wasteful number, since it uses less digits than its factorization.

212220112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192616 (or 192609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212220112111100 its reverse (1111211022212), we get a palindrome (213331323133312).

The spelling of 212220112111100 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1550 1643 2650 3100 3286 5300 6572 6961 8215 13922 16430 27844 32860 34805 41075 69610 82150 139220 164300 174025 185557 215791 348050 368933 371114 431582 696100 737866 742228 863164 927785 1078955 1475732 1844665 1855570 2157910 3689330 3711140 4315820 4638925 5394775 5752267 7378660 9223325 9277850 9834521 10789550 11436923 11504534 18446650 18555700 19669042 21579100 22873846 23009068 28761335 36893300 39338084 45747692 49172605 57184615 57522670 98345210 114369230 115045340 143806675 196690420 228738460 245863025 285923075 287613350 304870151 491726050 571846150 575226700 609740302 983452100 1143692300 1219480604 1291662277 1524350755 2583324554 3048701510 5166649108 6097403020 6458311385 7621753775 12916622770 15243507550 25833245540 30487015100 32291556925 40041530587 64583113850 68458100681 80083061174 129166227700 136916201362 160166122348 200207652935 273832402724 342290503405 400415305870 684581006810 800830611740 1001038264675 1369162013620 1711452517025 2002076529350 2122201121111 3422905034050 4004153058700 4244402242222 6845810068100 8488804484444 10611005605555 21222011211110 42444022422220 53055028027775 106110056055550 212220112111100