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20122220110000 = 24542362985159
BaseRepresentation
bin1001001001101000100011…
…10010000010000010110000
32122020122222010011101112111
410210310101302002002300
510114140301322010000
6110444004215135104
74144532241561121
oct444642162020260
978218863141474
1020122220110000
116458870737708
12230b9a2974494
13b2c695420c58
144d7cc6398048
1524d659bcbcba
hex124d11c820b0

20122220110000 has 100 divisors (see below), whose sum is σ = 48720540998800. Its totient is φ = 8048452896000.

The previous prime is 20122220109977. The next prime is 20122220110021. The reversal of 20122220110000 is 1102222102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 236247421 + ... + 236332579.

It is an arithmetic number, because the mean of its divisors is an integer number (487205409988).

Almost surely, 220122220110000 is an apocalyptic number.

20122220110000 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 20122220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360270499400).

20122220110000 is an abundant number, since it is smaller than the sum of its proper divisors (28598320888800).

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

20122220110000 is an equidigital number, since it uses as much as digits as its factorization.

20122220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108816 (or 108795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122220110000 its reverse (1102222102), we get a palindrome (20123322332102).

The spelling of 20122220110000 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 23629 47258 85159 94516 118145 170318 189032 236290 340636 378064 425795 472580 590725 681272 851590 945160 1181450 1362544 1703180 1890320 2128975 2362900 2953625 3406360 4257950 4725800 5907250 6812720 8515900 9451600 10644875 11814500 14768125 17031800 21289750 23629000 29536250 34063600 42579500 47258000 53224375 59072500 85159000 106448750 118145000 170318000 212897500 236290000 425795000 851590000 2012222011 4024444022 8048888044 10061110055 16097776088 20122220110 32195552176 40244440220 50305550275 80488880440 100611100550 160977760880 201222201100 251527751375 402444402200 503055502750 804888804400 1006111005500 1257638756875 2012222011000 2515277513750 4024444022000 5030555027500 10061110055000 20122220110000