Search a number
-
+
13202300320 = 2551124315859
BaseRepresentation
bin11000100101110101…
…10001110110100000
31021002002110100022221
430102322301312200
5204014242102240
610022015040424
7645110462326
oct142272616640
937062410287
1013202300320
115665399700
122685510114
131325283031
148d3589d16
155240b2a4a
hex312eb1da0

13202300320 has 144 divisors (see below), whose sum is σ = 35083208160. Its totient is φ = 4688893440.

The previous prime is 13202300269. The next prime is 13202300323. The reversal of 13202300320 is 2300320231.

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 = 13202300294 and 13202300303.

It is not an unprimeable number, because it can be changed into a prime (13202300323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824551 + ... + 840409.

It is an arithmetic number, because the mean of its divisors is an integer number (243633390).

Almost surely, 213202300320 is an apocalyptic number.

13202300320 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 13202300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541604080).

13202300320 is an abundant number, since it is smaller than the sum of its proper divisors (21880907840).

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

13202300320 is a wasteful number, since it uses less digits than its factorization.

13202300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15920 counting only the distinct ones).

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

Adding to 13202300320 its reverse (2300320231), we get a palindrome (15502620551).

The spelling of 13202300320 in words is "thirteen billion, two hundred two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 121 160 172 176 215 220 242 344 352 430 440 473 484 605 688 860 880 946 968 1210 1376 1720 1760 1892 1936 2365 2420 3440 3784 3872 4730 4840 5203 6880 7568 9460 9680 10406 15136 15859 18920 19360 20812 26015 31718 37840 41624 52030 63436 75680 79295 83248 104060 126872 158590 166496 174449 208120 253744 317180 348898 416240 507488 634360 681937 697796 832480 872245 1268720 1363874 1395592 1744490 1918939 2537440 2727748 2791184 3409685 3488980 3837878 5455496 5582368 6819370 6977960 7501307 7675756 9594695 10910992 13638740 13955920 15002614 15351512 19189390 21821984 27277480 27911840 30005228 30703024 37506535 38378780 54554960 60010456 61406048 75013070 76757560 82514377 109109920 120020912 150026140 153515120 165028754 240041824 300052280 307030240 330057508 412571885 600104560 660115016 825143770 1200209120 1320230032 1650287540 2640460064 3300575080 6601150160 13202300320