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2001101220 = 2233515592377
BaseRepresentation
bin111011101000110…
…0110000110100100
312011110102110211000
41313101212012210
513044240214340
6530322313300
7100406036226
oct16721460644
95143373730
102001101220
11937629a68
1247a1b8830
1325b771681
1414daa4416
15baa2dd30
hex774661a4

2001101220 has 96 divisors (see below), whose sum is σ = 6232262400. Its totient is φ = 533060352.

The previous prime is 2001101209. The next prime is 2001101257. The reversal of 2001101220 is 221011002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840672 + ... + 843048.

It is an arithmetic number, because the mean of its divisors is an integer number (64919400).

Almost surely, 22001101220 is an apocalyptic number.

2001101220 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 2001101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116131200).

2001101220 is an abundant number, since it is smaller than the sum of its proper divisors (4231161180).

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

2001101220 is a wasteful number, since it uses less digits than its factorization.

2001101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3946 counting only the distinct ones).

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

The square root of 2001101220 is about 44733.6698695736. The cubic root of 2001101220 is about 1260.1522491763.

Adding to 2001101220 its reverse (221011002), we get a palindrome (2222112222).

The spelling of 2001101220 in words is "two billion, one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1559 2377 3118 4677 4754 6236 7131 7795 9354 9508 11885 14031 14262 15590 18708 21393 23385 23770 28062 28524 31180 35655 42093 42786 46770 47540 56124 64179 70155 71310 84186 85572 93540 106965 128358 140310 142620 168372 210465 213930 256716 280620 320895 420930 427860 641790 841860 1283580 3705743 7411486 11117229 14822972 18528715 22234458 33351687 37057430 44468916 55586145 66703374 74114860 100055061 111172290 133406748 166758435 200110122 222344580 333516870 400220244 500275305 667033740 1000550610 2001101220