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13325435340 = 22357237911959
BaseRepresentation
bin11000110100100001…
…00000000111001100
31021101200011020211020
430122100200013030
5204242302412330
610042134154140
7651134221500
oct143220400714
937350136736
1013325435340
115718951888
1226ba7b2950
131344936ba9
14905a80300
1552ecd7210
hex31a4201cc

13325435340 has 144 divisors (see below), whose sum is σ = 43521004800. Its totient is φ = 3037523328.

The previous prime is 13325435323. The next prime is 13325435341. The reversal of 13325435340 is 4353452331.

It is not an unprimeable number, because it can be changed into a prime (13325435341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108281 + ... + 1120239.

It is an arithmetic number, because the mean of its divisors is an integer number (302229200).

Almost surely, 213325435340 is an apocalyptic number.

13325435340 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 13325435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21760502400).

13325435340 is an abundant number, since it is smaller than the sum of its proper divisors (30195569460).

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

13325435340 is a wasteful number, since it uses less digits than its factorization.

13325435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 13325435340 its reverse (4353452331), we get a palindrome (17678887671).

The spelling of 13325435340 in words is "thirteen billion, three hundred twenty-five million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 379 420 490 588 735 758 980 1137 1470 1516 1895 2274 2653 2940 3790 4548 5306 5685 7580 7959 10612 11370 11959 13265 15918 18571 22740 23918 26530 31836 35877 37142 39795 47836 53060 55713 59795 71754 74284 79590 83713 92855 111426 119590 143508 159180 167426 179385 185710 222852 239180 251139 278565 334852 358770 371420 418565 502278 557130 585991 717540 837130 1004556 1114260 1171982 1255695 1674260 1757973 2343964 2511390 2929955 3515946 4532461 5022780 5859910 7031892 8789865 9064922 11719820 13597383 17579730 18129844 22662305 27194766 31727227 35159460 45324610 54389532 63454454 67986915 90649220 95181681 126908908 135973830 158636135 190363362 222090589 271947660 317272270 380726724 444181178 475908405 634544540 666271767 888362356 951816810 1110452945 1332543534 1903633620 2220905890 2665087068 3331358835 4441811780 6662717670 13325435340