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13423012000 = 25534771399
BaseRepresentation
bin11001000000001001…
…01110100010100000
31021122110202122211121
430200010232202200
5204442242341000
610055541422024
7653430501526
oct144004564240
937573678747
1013423012000
115768a38652
12272740a914
13135bc0c668
14914a00316
1553865db1a
hex32012e8a0

13423012000 has 96 divisors (see below), whose sum is σ = 33682521600. Its totient is φ = 5254892800.

The previous prime is 13423011983. The next prime is 13423012003. The reversal of 13423012000 is 21032431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13423012003) 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, 152301 + ... + 223699.

It is an arithmetic number, because the mean of its divisors is an integer number (350859600).

Almost surely, 213423012000 is an apocalyptic number.

13423012000 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 13423012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841260800).

13423012000 is an abundant number, since it is smaller than the sum of its proper divisors (20259509600).

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

13423012000 is an equidigital number, since it uses as much as digits as its factorization.

13423012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71471 (or 71453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13423012000 its reverse (21032431), we get a palindrome (13444044431).

The spelling of 13423012000 in words is "thirteen billion, four hundred twenty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 11750 18800 23500 37600 47000 71399 94000 142798 188000 285596 356995 571192 713990 1142384 1427980 1784975 2284768 2855960 3355753 3569950 5711920 6711506 7139900 8924875 11423840 13423012 14279800 16778765 17849750 26846024 28559600 33557530 35699500 53692048 57119200 67115060 71399000 83893825 107384096 134230120 142798000 167787650 268460240 285596000 335575300 419469125 536920480 671150600 838938250 1342301200 1677876500 2684602400 3355753000 6711506000 13423012000