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13020334320 = 2435716974567
BaseRepresentation
bin11000010000001001…
…01000100011110000
31020121102001111220110
430020010220203300
5203131201144240
65551554541320
7640441005240
oct141004504360
936542044813
1013020334320
115581703984
122634597840
1312c6671346
148b733db20
1551311bc80
hex3081288f0

13020334320 has 160 divisors (see below), whose sum is σ = 46166473728. Its totient is φ = 2973671424.

The previous prime is 13020334319. The next prime is 13020334337. The reversal of 13020334320 is 2343302031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2848677 + ... + 2853243.

Almost surely, 213020334320 is an apocalyptic number.

13020334320 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 13020334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083236864).

13020334320 is an abundant number, since it is smaller than the sum of its proper divisors (33146139408).

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

13020334320 is a wasteful number, since it uses less digits than its factorization.

13020334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13020334320 its reverse (2343302031), we get a palindrome (15363636351).

The spelling of 13020334320 in words is "thirteen billion, twenty million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1697 3394 4567 5091 6788 8485 9134 10182 11879 13576 13701 16970 18268 20364 22835 23758 25455 27152 27402 31969 33940 35637 36536 40728 45670 47516 50910 54804 59395 63938 67880 68505 71274 73072 81456 91340 95032 95907 101820 109608 118790 127876 135760 137010 142548 159845 178185 182680 190064 191814 203640 219216 237580 255752 274020 285096 319690 356370 365360 383628 407280 475160 479535 511504 548040 570192 639380 712740 767256 950320 959070 1096080 1278760 1425480 1534512 1918140 2557520 2850960 3836280 7672560 7750199 15500398 23250597 31000796 38750995 46501194 54251393 62001592 77501990 93002388 108502786 116252985 124003184 155003980 162754179 186004776 217005572 232505970 271256965 310007960 325508358 372009552 434011144 465011940 542513930 620015920 651016716 813770895 868022288 930023880 1085027860 1302033432 1627541790 1860047760 2170055720 2604066864 3255083580 4340111440 6510167160 13020334320