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2001132300 = 2235246314407
BaseRepresentation
bin111011101000110…
…1101101100001100
312011110111001110010
41313101231230030
513044242213200
6530323113220
7100406225646
oct16721555414
95143431403
102001132300
11937650352
1247a212810
1325b78286b
1414dab1896
15baa38150
hex7746db0c

2001132300 has 72 divisors (see below), whose sum is σ = 5802850816. Its totient is φ = 532445760.

The previous prime is 2001132281. The next prime is 2001132317. The reversal of 2001132300 is 32311002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 131697 + ... + 146103.

Almost surely, 22001132300 is an apocalyptic number.

2001132300 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 2001132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901425408).

2001132300 is an abundant number, since it is smaller than the sum of its proper divisors (3801718516).

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

2001132300 is a wasteful number, since it uses less digits than its factorization.

2001132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001132300 is about 44734.0172575636. The cubic root of 2001132300 is about 1260.1587731390.

Adding to 2001132300 its reverse (32311002), we get a palindrome (2033443302).

The spelling of 2001132300 in words is "two billion, one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 926 1389 1852 2315 2778 4630 5556 6945 9260 11575 13890 14407 23150 27780 28814 34725 43221 46300 57628 69450 72035 86442 138900 144070 172884 216105 288140 360175 432210 720350 864420 1080525 1440700 2161050 4322100 6670441 13340882 20011323 26681764 33352205 40022646 66704410 80045292 100056615 133408820 166761025 200113230 333522050 400226460 500283075 667044100 1000566150 2001132300