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13235003232 = 25311210910453
BaseRepresentation
bin11000101001101111…
…00001111101100000
31021011100222211021220
430110313201331200
5204101130100412
610025144015040
7645655446153
oct142467417540
937140884256
1013235003232
1156818a5900
122694461480
13132bc93379
148d7a5dc9a
15526dc268c
hex314de1f60

13235003232 has 144 divisors (see below), whose sum is σ = 38541389040. Its totient is φ = 3973432320.

The previous prime is 13235003213. The next prime is 13235003303. The reversal of 13235003232 is 23230053231.

13235003232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260918 + ... + 1271370.

It is an arithmetic number, because the mean of its divisors is an integer number (267648535).

Almost surely, 213235003232 is an apocalyptic number.

13235003232 is a gapful number since it is divisible by the number (12) 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 13235003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270694520).

13235003232 is an abundant number, since it is smaller than the sum of its proper divisors (25306385808).

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

13235003232 is a wasteful number, since it uses less digits than its factorization.

13235003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 13235003232 its reverse (23230053231), we get a palindrome (36465056463).

The spelling of 13235003232 in words is "thirteen billion, two hundred thirty-five million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 109 121 132 176 218 242 264 327 352 363 436 484 528 654 726 872 968 1056 1199 1308 1452 1744 1936 2398 2616 2904 3488 3597 3872 4796 5232 5808 7194 9592 10453 10464 11616 13189 14388 19184 20906 26378 28776 31359 38368 39567 41812 52756 57552 62718 79134 83624 105512 114983 115104 125436 158268 167248 211024 229966 250872 316536 334496 344949 422048 459932 501744 633072 689898 919864 1003488 1139377 1264813 1266144 1379796 1839728 2278754 2529626 2759592 3418131 3679456 3794439 4557508 5059252 5519184 6836262 7588878 9115016 10118504 11038368 12533147 13672524 15177756 18230032 20237008 25066294 27345048 30355512 36460064 37599441 40474016 50132588 54690096 60711024 75198882 100265176 109380192 121422048 137864617 150397764 200530352 275729234 300795528 401060704 413593851 551458468 601591056 827187702 1102916936 1203182112 1654375404 2205833872 3308750808 4411667744 6617501616 13235003232