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110020222000 = 24531319222713
BaseRepresentation
bin110011001110110110…
…1110101110000110000
3101111222111110100202001
41212131231311300300
53300310134101000
6122313111103344
710643255312503
oct1463555656060
9344874410661
10110020222000
1142728602207
12193a5671b54
13a4b475a3a0
145479b6913a
152cddc8e46a
hex199db75c30

110020222000 has 160 divisors (see below), whose sum is σ = 301572573120. Its totient is φ = 38484633600.

The previous prime is 110020221991. The next prime is 110020222027. The reversal of 110020222000 is 222020011.

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

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, 382644 + ... + 605356.

It is an arithmetic number, because the mean of its divisors is an integer number (1884828582).

Almost surely, 2110020222000 is an apocalyptic number.

110020222000 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 110020222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150786286560).

110020222000 is an abundant number, since it is smaller than the sum of its proper divisors (191552351120).

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

110020222000 is a wasteful number, since it uses less digits than its factorization.

110020222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222768 (or 222752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 110020222000 its reverse (222020011), we get a palindrome (110242242011).

The spelling of 110020222000 in words is "one hundred ten billion, twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 104 125 130 152 190 200 208 247 250 260 304 325 380 400 475 494 500 520 650 760 950 988 1000 1040 1235 1300 1520 1625 1900 1976 2000 2375 2470 2600 3250 3800 3952 4750 4940 5200 6175 6500 7600 9500 9880 12350 13000 19000 19760 24700 26000 30875 38000 49400 61750 98800 123500 222713 247000 445426 494000 890852 1113565 1781704 2227130 2895269 3563408 4231547 4454260 5567825 5790538 8463094 8908520 11135650 11581076 14476345 16926188 17817040 21157735 22271300 23162152 27839125 28952690 33852376 42315470 44542600 46324304 55010111 55678250 57905380 67704752 72381725 84630940 89085200 105788675 110020222 111356500 115810760 144763450 169261880 211577350 220040444 222713000 231621520 275050555 289526900 338523760 361908625 423154700 440080888 445426000 528943375 550101110 579053800 723817250 846309400 880161776 1057886750 1100202220 1158107600 1375252775 1447634500 1692618800 2115773500 2200404440 2750505550 2895269000 4231547000 4400808880 5501011100 5790538000 6876263875 8463094000 11002022200 13752527750 22004044400 27505055500 55010111000 110020222000