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2011221100 = 225273192683
BaseRepresentation
bin111011111100000…
…1100110001101100
312012011110121200101
41313320030301230
513104333033400
6531323240444
7100561045240
oct16770146154
95164417611
102011221100
119423111a9
12481679124
132608a5975
1415117a420
15bb87c56a
hex77e0cc6c

2011221100 has 72 divisors (see below), whose sum is σ = 5148781568. Its totient is φ = 667310400.

The previous prime is 2011221073. The next prime is 2011221119. The reversal of 2011221100 is 11221102.

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

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 23 ways as a sum of consecutive naturals, for example, 24642 + ... + 68041.

Almost surely, 22011221100 is an apocalyptic number.

2011221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011221100 is an abundant number, since it is smaller than the sum of its proper divisors (3137560468).

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

2011221100 is a wasteful number, since it uses less digits than its factorization.

2011221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92735 (or 92728 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2011221100 is about 44846.6397849382. The cubic root of 2011221100 is about 1262.2729402462.

Adding to 2011221100 its reverse (11221102), we get a palindrome (2022442202).

The spelling of 2011221100 in words is "two billion, eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 21700 92683 185366 370732 463415 648781 926830 1297562 1853660 2317075 2595124 2873173 3243905 4634150 5746346 6487810 9268300 11492692 12975620 14365865 16219525 20112211 28731730 32439050 40224422 57463460 64878100 71829325 80448844 100561055 143658650 201122110 287317300 402244220 502805275 1005610550 2011221100