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11302320000 = 2735447093
BaseRepresentation
bin10101000011010101…
…11011011110000000
31002011200022100022110
422201222323132000
5141121343220000
65105303535320
7550040064156
oct124152733600
932150270273
1011302320000
11487a957334
12223515a540
1310b175841a
147930c93d6
154623aa850
hex2a1abb780

11302320000 has 160 divisors (see below), whose sum is σ = 37516022280. Its totient is φ = 3013888000.

The previous prime is 11302319999. The next prime is 11302320019. The reversal of 11302320000 is 2320311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 216454 + ... + 263546.

Almost surely, 211302320000 is an apocalyptic number.

11302320000 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 11302320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758011140).

11302320000 is an abundant number, since it is smaller than the sum of its proper divisors (26213702280).

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

11302320000 is an frugal number, since it uses more digits than its factorization.

11302320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47130 (or 47103 counting only the distinct ones).

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

Adding to 11302320000 its reverse (2320311), we get a palindrome (11304640311).

The spelling of 11302320000 in words is "eleven billion, three hundred two million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 47093 48000 60000 80000 94186 120000 141279 188372 235465 240000 282558 376744 470930 565116 706395 753488 941860 1130232 1177325 1412790 1506976 1883720 2260464 2354650 2825580 3013952 3531975 3767440 4520928 4709300 5651160 5886625 6027904 7063950 7534880 9041856 9418600 11302320 11773250 14127900 15069760 17659875 18083712 18837200 22604640 23546500 28255800 29433125 30139520 35319750 37674400 45209280 47093000 56511600 58866250 70639500 75348800 88299375 90418560 94186000 113023200 117732500 141279000 150697600 176598750 188372000 226046400 235465000 282558000 353197500 376744000 452092800 470930000 565116000 706395000 753488000 941860000 1130232000 1412790000 1883720000 2260464000 2825580000 3767440000 5651160000 11302320000