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13020020320 = 2552313072707
BaseRepresentation
bin11000010000000110…
…11011111001100000
31020121101110120011211
430020003123321200
5203131111122240
65551544115504
7640435226626
oct141003337140
936541416154
1013020020320
115581509a7a
122634465b94
1312c6591448
148b729b516
155130a8bea
hex3080dbe60

13020020320 has 96 divisors (see below), whose sum is σ = 32133604608. Its totient is φ = 4975922688.

The previous prime is 13020020281. The next prime is 13020020357. The reversal of 13020020320 is 2302002031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13020020320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4808407 + ... + 4811113.

It is an arithmetic number, because the mean of its divisors is an integer number (334725048).

Almost surely, 213020020320 is an apocalyptic number.

13020020320 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 13020020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16066802304).

13020020320 is an abundant number, since it is smaller than the sum of its proper divisors (19113584288).

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

13020020320 is a wasteful number, since it uses less digits than its factorization.

13020020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13020020320 its reverse (2302002031), we get a palindrome (15322022351).

The spelling of 13020020320 in words is "thirteen billion, twenty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1307 1840 2614 2707 3680 5228 5414 6535 10456 10828 13070 13535 20912 21656 26140 27070 30061 41824 43312 52280 54140 60122 62261 86624 104560 108280 120244 124522 150305 209120 216560 240488 249044 300610 311305 433120 480976 498088 601220 622610 961952 996176 1202440 1245220 1992352 2404880 2490440 3538049 4809760 4980880 7076098 9961760 14152196 17690245 28304392 35380490 56608784 70760980 81375127 113217568 141521960 162750254 283043920 325500508 406875635 566087840 651001016 813751270 1302002032 1627502540 2604004064 3255005080 6510010160 13020020320