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13024331200 = 26528991463
BaseRepresentation
bin11000010000100111…
…11000010111000000
31020121200120120121001
430020103320113000
5203133212044300
65552220341344
7640516663036
oct141023702700
936550516531
1013024331200
115583993891
1226359a4854
1312c744066a
148b7aa0556
1551365b16a
hex3084f85c0

13024331200 has 84 divisors (see below), whose sum is σ = 32408439120. Its totient is φ = 5151139840.

The previous prime is 13024331191. The next prime is 13024331209. The reversal of 13024331200 is 213342031.

It is an interprime number because it is at equal distance from previous prime (13024331191) and next prime (13024331209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024331209) 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 11 ways as a sum of consecutive naturals, for example, 96669 + ... + 188131.

Almost surely, 213024331200 is an apocalyptic number.

13024331200 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 13024331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204219560).

13024331200 is an abundant number, since it is smaller than the sum of its proper divisors (19384107920).

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

13024331200 is an equidigital number, since it uses as much as digits as its factorization.

13024331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91574 (or 91559 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13024331200 its reverse (213342031), we get a palindrome (13237673231).

The spelling of 13024331200 in words is "thirteen billion, twenty-four million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 160 178 200 320 356 400 445 712 800 890 1424 1600 1780 2225 2848 3560 4450 5696 7120 8900 14240 17800 28480 35600 71200 91463 142400 182926 365852 457315 731704 914630 1463408 1829260 2286575 2926816 3658520 4573150 5853632 7317040 8140207 9146300 14634080 16280414 18292600 29268160 32560828 36585200 40701035 65121656 73170400 81402070 130243312 146340800 162804140 203505175 260486624 325608280 407010350 520973248 651216560 814020700 1302433120 1628041400 2604866240 3256082800 6512165600 13024331200