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20022210100000 = 25551131771877
BaseRepresentation
bin1001000110101110010001…
…01110000111101100100000
32121220002211020200111011001
410203113020232013230200
510111020441241200000
6110330024253401344
74134362013532003
oct443271056075440
977802736614131
1020022210100000
11641a40a694989
1222b4531799254
13b23117818244
144d3119c8d53a
1524ac54b6646a
hex1235c8b87b20

20022210100000 has 144 divisors (see below), whose sum is σ = 49706302171176. Its totient is φ = 7938004480000.

The previous prime is 20022210099937. The next prime is 20022210100003. The reversal of 20022210100000 is 101222002.

It can be written as a sum of positive squares in 12 ways, for example, as 16326480684816 + 3695729415184 = 4040604^2 + 1922428^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20022210100000.

It is not an unprimeable number, because it can be changed into a prime (20022210100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10414062 + ... + 12185938.

Almost surely, 220022210100000 is an apocalyptic number.

20022210100000 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 20022210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853151085588).

20022210100000 is an abundant number, since it is smaller than the sum of its proper divisors (29684092071176).

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

20022210100000 is an equidigital number, since it uses as much as digits as its factorization.

20022210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772025 (or 1771997 counting only the distinct ones).

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

Adding to 20022210100000 its reverse (101222002), we get a palindrome (20022311322002).

The spelling of 20022210100000 in words is "twenty trillion, twenty-two billion, two hundred ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 625 800 904 1000 1130 1250 1808 2000 2260 2500 2825 3125 3616 4000 4520 5000 5650 6250 9040 10000 11300 12500 14125 18080 20000 22600 25000 28250 45200 50000 56500 70625 90400 100000 113000 141250 226000 282500 353125 452000 565000 706250 1130000 1412500 1771877 2260000 2825000 3543754 5650000 7087508 8859385 11300000 14175016 17718770 28350032 35437540 44296925 56700064 70875080 88593850 141750160 177187700 200222101 221484625 283500320 354375400 400444202 442969250 708750800 800888404 885938500 1001110505 1107423125 1417501600 1601776808 1771877000 2002221010 2214846250 3203553616 3543754000 4004442020 4429692500 5005552525 5537115625 6407107232 7087508000 8008884040 8859385000 10011105050 11074231250 16017768080 17718770000 20022210100 22148462500 25027762625 32035536160 35437540000 40044420200 44296925000 50055525250 80088840400 88593850000 100111050500 125138813125 160177680800 177187700000 200222101000 250277626250 400444202000 500555252500 625694065625 800888404000 1001110505000 1251388131250 2002221010000 2502776262500 4004442020000 5005552525000 10011105050000 20022210100000