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20110220000 = 25541377347
BaseRepresentation
bin10010101110101010…
…011001101011100000
31220220111221000122222
4102232222121223200
5312141204020000
613123303450212
71311231023003
oct225652315340
956814830588
1020110220000
11858a770a32
123a92a56968
131b86489180
14d8abb753a
157ca78da85
hex4aea99ae0

20110220000 has 120 divisors (see below), whose sum is σ = 53280551016. Its totient is φ = 7425216000.

The previous prime is 20110219991. The next prime is 20110220021. The reversal of 20110220000 is 2201102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20110220000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221327 + ... + 298673.

Almost surely, 220110220000 is an apocalyptic number.

20110220000 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 20110220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26640275508).

20110220000 is an abundant number, since it is smaller than the sum of its proper divisors (33170331016).

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

20110220000 is an equidigital number, since it uses as much as digits as its factorization.

20110220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77390 (or 77367 counting only the distinct ones).

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

Adding to 20110220000 its reverse (2201102), we get a palindrome (20112421102).

The spelling of 20110220000 in words is "twenty billion, one hundred ten million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 77347 130000 154694 260000 309388 386735 618776 773470 1005511 1237552 1546940 1933675 2011022 2475104 3093880 3867350 4022044 5027555 6187760 7734700 8044088 9668375 10055110 12375520 15469400 16088176 19336750 20110220 25137775 30938800 32176352 38673500 40220440 48341875 50275550 61877600 77347000 80440880 96683750 100551100 125688875 154694000 160881760 193367500 201102200 251377750 309388000 386735000 402204400 502755500 628444375 773470000 804408800 1005511000 1256888750 1546940000 2011022000 2513777500 4022044000 5027555000 10055110000 20110220000