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11633230000 = 24547166189
BaseRepresentation
bin10101101010110010…
…10000000010110000
31010000201222022111101
422311121100002300
5142311101330000
65202204254144
7561165552310
oct126531200260
933021868441
1011633230000
114a2a722977
122307b41354
131135189462
147c5027440
15481472e6a
hex2b56500b0

11633230000 has 100 divisors (see below), whose sum is σ = 32189008720. Its totient is φ = 3988512000.

The previous prime is 11633229991. The next prime is 11633230003. The reversal of 11633230000 is 3233611.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 11633230000.

It is not an unprimeable number, because it can be changed into a prime (11633230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13095 + ... + 153094.

Almost surely, 211633230000 is an apocalyptic number.

11633230000 is a gapful number since it is divisible by the number (10) 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 11633230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094504360).

11633230000 is an abundant number, since it is smaller than the sum of its proper divisors (20555778720).

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

11633230000 is an equidigital number, since it uses as much as digits as its factorization.

11633230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166224 (or 166203 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11633230000 its reverse (3233611), we get a palindrome (11636463611).

The spelling of 11633230000 in words is "eleven billion, six hundred thirty-three million, two hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 166189 332378 664756 830945 1163323 1329512 1661890 2326646 2659024 3323780 4154725 4653292 5816615 6647560 8309450 9306584 11633230 13295120 16618900 18613168 20773625 23266460 29083075 33237800 41547250 46532920 58166150 66475600 83094500 93065840 103868125 116332300 145415375 166189000 207736250 232664600 290830750 332378000 415472500 465329200 581661500 727076875 830945000 1163323000 1454153750 1661890000 2326646000 2908307500 5816615000 11633230000