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13020320320 = 265710953327
BaseRepresentation
bin11000010000001001…
…00101001001000000
31020121102000210200221
430020010211021000
5203131200222240
65551554352424
7640440616360
oct141004451100
936542023627
1013020320320
1155816a4407
12263458b714
1312c6667b67
148b73389a0
15513117a4a
hex308125240

13020320320 has 112 divisors (see below), whose sum is σ = 35759623680. Its totient is φ = 4423071744.

The previous prime is 13020320297. The next prime is 13020320329. The reversal of 13020320320 is 2302302031.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 13020320294 and 13020320303.

It is not an unprimeable number, because it can be changed into a prime (13020320329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217497 + ... + 270823.

Almost surely, 213020320320 is an apocalyptic number.

13020320320 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 13020320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879811840).

13020320320 is an abundant number, since it is smaller than the sum of its proper divisors (22739303360).

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

13020320320 is a wasteful number, since it uses less digits than its factorization.

13020320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53460 (or 53450 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13020320320 its reverse (2302302031), we get a palindrome (15322622351).

The spelling of 13020320320 in words is "thirteen billion, twenty million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 140 160 218 224 280 320 436 448 545 560 763 872 1090 1120 1526 1744 2180 2240 3052 3488 3815 4360 6104 6976 7630 8720 12208 15260 17440 24416 30520 34880 48832 53327 61040 106654 122080 213308 244160 266635 373289 426616 533270 746578 853232 1066540 1493156 1706464 1866445 2133080 2986312 3412928 3732890 4266160 5812643 5972624 7465780 8532320 11625286 11945248 14931560 17064640 23250572 23890496 29063215 29863120 40688501 46501144 58126430 59726240 81377002 93002288 116252860 119452480 162754004 186004576 203442505 232505720 325508008 372009152 406885010 465011440 651016016 813770020 930022880 1302032032 1627540040 1860045760 2604064064 3255080080 6510160160 13020320320