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22011000100000 = 2555220110001
BaseRepresentation
bin1010000000100110101011…
…10101111001010010100000
32212221020020102221100000221
411000103111311321102200
510341112012011200000
6114451414105252424
74431146046600232
oct500232565712240
985836212840027
1022011000100000
1170168a380485a
122575a67494114
13c388227a9102
145614a3a06252
1528285392261a
hex1404d5d794a0

22011000100000 has 72 divisors (see below), whose sum is σ = 54164229072156. Its totient is φ = 8804400000000.

The previous prime is 22011000099973. The next prime is 22011000100007. The reversal of 22011000100000 is 100011022.

It can be written as a sum of positive squares in 6 ways, for example, as 20940405264 + 21990059694736 = 144708^2 + 4689356^2 .

It is not an unprimeable number, because it can be changed into a prime (22011000100007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109955001 + ... + 110155000.

Almost surely, 222011000100000 is an apocalyptic number.

22011000100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011000100000 is an abundant number, since it is smaller than the sum of its proper divisors (32153228972156).

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

22011000100000 is an frugal number, since it uses more digits than its factorization.

22011000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220110036 (or 220110008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 22011000100000 its reverse (100011022), we get a palindrome (22011100111022).

The spelling of 22011000100000 in words is "twenty-two trillion, eleven billion, one hundred 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 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 220110001 440220002 880440004 1100550005 1760880008 2201100010 3521760016 4402200020 5502750025 7043520032 8804400040 11005500050 17608800080 22011000100 27513750125 35217600160 44022000200 55027500250 88044000400 110055000500 137568750625 176088000800 220110001000 275137501250 440220002000 550275002500 687843753125 880440004000 1100550005000 1375687506250 2201100010000 2751375012500 4402200020000 5502750025000 11005500050000 22011000100000