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110220000211000 = 23532392053224633
BaseRepresentation
bin11001000011111010010111…
…111101011011000000111000
3112110020221002022202110022001
4121003322113331123000320
5103421321030023223000
61030230211415510344
732134063232456611
oct3103722775330070
9473227068673261
10110220000211000
1132135048764999
121044145b0883b4
1349669170402c4
141d30968360c08
15cb211d94546a
hex643e97f5b038

110220000211000 has 128 divisors (see below), whose sum is σ = 259121249337600. Its totient is φ = 43881951052800.

The previous prime is 110220000210979. The next prime is 110220000211073. The reversal of 110220000211000 is 112000022011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490554684 + ... + 490779316.

It is an arithmetic number, because the mean of its divisors is an integer number (2024384760450).

Almost surely, 2110220000211000 is an apocalyptic number.

110220000211000 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 110220000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129560624668800).

110220000211000 is an abundant number, since it is smaller than the sum of its proper divisors (148901249126600).

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

110220000211000 is a wasteful number, since it uses less digits than its factorization.

110220000211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226946 (or 226932 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110220000211000 its reverse (112000022011), we get a palindrome (110332000233011).

The spelling of 110220000211000 in words is "one hundred ten trillion, two hundred twenty billion, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 239 250 478 500 956 1000 1195 1912 2053 2390 4106 4780 5975 8212 9560 10265 11950 16424 20530 23900 29875 41060 47800 51325 59750 82120 102650 119500 205300 224633 239000 256625 410600 449266 490667 513250 898532 981334 1026500 1123165 1797064 1962668 2053000 2246330 2453335 3925336 4492660 4906670 5615825 8985320 9813340 11231650 12266675 19626680 22463300 24533350 28079125 44926600 49066700 53687287 56158250 61333375 98133400 107374574 112316500 122666750 214749148 224633000 245333500 268436435 429498296 461171549 490667000 536872870 922343098 1073745740 1342182175 1844686196 2147491480 2305857745 2684364350 3689372392 4611715490 5368728700 6710910875 9223430980 10737457400 11529288725 13421821750 18446861960 23058577450 26843643500 46117154900 53687287000 57646443625 92234309800 110220000211 115292887250 220440000422 230585774500 440880000844 461171549000 551100001055 881760001688 1102200002110 2204400004220 2755500005275 4408800008440 5511000010550 11022000021100 13777500026375 22044000042200 27555000052750 55110000105500 110220000211000