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2001221100 = 223352741193
BaseRepresentation
bin111011101001000…
…0011010111101100
312011110122120021000
41313102003113230
513044303033400
6530325040300
7100410045564
oct16722032754
95143576230
102001221100
1193770103a
1247a256090
1325b7b40c8
1414dad5da4
15baa54600
hex774835ec

2001221100 has 72 divisors (see below), whose sum is σ = 6433563920. Its totient is φ = 533658240.

The previous prime is 2001221077. The next prime is 2001221119. The reversal of 2001221100 is 11221002.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 367897 + ... + 373296.

Almost surely, 22001221100 is an apocalyptic number.

2001221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001221100 is an abundant number, since it is smaller than the sum of its proper divisors (4432342820).

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

2001221100 is a wasteful number, since it uses less digits than its factorization.

2001221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741216 (or 741203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001221100 is about 44735.0097798134. The cubic root of 2001221100 is about 1260.1774126602.

Adding to 2001221100 its reverse (11221002), we get a palindrome (2012442102).

The spelling of 2001221100 in words is "two billion, one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 741193 1482386 2223579 2964772 3705965 4447158 6670737 7411930 8894316 11117895 13341474 14823860 18529825 20012211 22235790 26682948 33353685 37059650 40024422 44471580 55589475 66707370 74119300 80048844 100061055 111178950 133414740 166768425 200122110 222357900 333536850 400244220 500305275 667073700 1000610550 2001221100