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13310112000 = 28353138647
BaseRepresentation
bin11000110010101100…
…00011000100000000
31021100121022202011010
430121112003010000
5204224342041000
610040425520520
7650560041153
oct143126030400
937317282133
1013310112000
115710236169
1226b5643140
131341700323
14903a11c9a
1552d7abd50
hex319583100

13310112000 has 144 divisors (see below), whose sum is σ = 44209855872. Its totient is φ = 3549337600.

The previous prime is 13310111989. The next prime is 13310112001. The reversal of 13310112000 is 21101331.

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

It is not an unprimeable number, because it can be changed into a prime (13310112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26677 + ... + 165323.

It is an arithmetic number, because the mean of its divisors is an integer number (307012888).

Almost surely, 213310112000 is an apocalyptic number.

13310112000 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 13310112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104927936).

13310112000 is an abundant number, since it is smaller than the sum of its proper divisors (30899743872).

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

13310112000 is an equidigital number, since it uses as much as digits as its factorization.

13310112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138681 (or 138657 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13310112000 its reverse (21101331), we get a palindrome (13331213331).

The spelling of 13310112000 in words is "thirteen billion, three hundred ten million, one hundred twelve 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 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 138647 277294 415941 554588 693235 831882 1109176 1386470 1663764 2079705 2218352 2772940 3327528 3466175 4159410 4436704 5545880 6655056 6932350 8318820 8873408 10398525 11091760 13310112 13864700 16637640 17330875 17746816 20797050 22183520 26620224 27729400 33275280 34661750 35493632 41594100 44367040 51992625 53240448 55458800 66550560 69323500 83188200 88734080 103985250 106480896 110917600 133101120 138647000 166376400 177468160 207970500 221835200 266202240 277294000 332752800 415941000 443670400 532404480 554588000 665505600 831882000 887340800 1109176000 1331011200 1663764000 2218352000 2662022400 3327528000 4436704000 6655056000 13310112000