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201222020000 = 255422034567
BaseRepresentation
bin1011101101100111000…
…1000101101110100000
3201020101111201201210102
42323121301011232200
511244100314120000
6232235022121532
720352316643351
oct2733161055640
9636344651712
10201222020000
1178379647991
1232bb8a202a8
1315c8a553331
149a4c503d28
15537a8ae3d5
hex2ed9c45ba0

201222020000 has 120 divisors (see below), whose sum is σ = 495369506016. Its totient is φ = 80434656000.

The previous prime is 201222019991. The next prime is 201222020039. The reversal of 201222020000 is 20222102.

201222020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44057717 + ... + 44062283.

Almost surely, 2201222020000 is an apocalyptic number.

201222020000 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 201222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247684753008).

201222020000 is an abundant number, since it is smaller than the sum of its proper divisors (294147486016).

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

201222020000 is an equidigital number, since it uses as much as digits as its factorization.

201222020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 201222020000 its reverse (20222102), we get a palindrome (201242242102).

The spelling of 201222020000 in words is "two hundred one billion, two hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2203 2500 4000 4406 4567 5000 8812 9134 10000 11015 17624 18268 20000 22030 22835 35248 36536 44060 45670 55075 70496 73072 88120 91340 110150 114175 146144 176240 182680 220300 228350 275375 352480 365360 440600 456700 550750 570875 730720 881200 913400 1101500 1141750 1376875 1762400 1826800 2203000 2283500 2753750 2854375 3653600 4406000 4567000 5507500 5708750 8812000 9134000 10061101 11015000 11417500 18268000 20122202 22030000 22835000 40244404 44060000 45670000 50305505 80488808 91340000 100611010 160977616 201222020 251527525 321955232 402444040 503055050 804888080 1006110100 1257637625 1609776160 2012220200 2515275250 4024440400 5030550500 6288188125 8048880800 10061101000 12576376250 20122202000 25152752500 40244404000 50305505000 100611010000 201222020000