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13213435428 = 22324347193941
BaseRepresentation
bin11000100111001010…
…10000011000100100
31021002212102001211100
430103211100120210
5204030114413203
610023053440100
7645304230234
oct142345203044
937085361740
1013213435428
115670704676
1226891a0030
13132768145b
148d4c47cc4
15525061ea3
hex313950624

13213435428 has 144 divisors (see below), whose sum is σ = 35122703616. Its totient is φ = 4184248320.

The previous prime is 13213435409. The next prime is 13213435429. The reversal of 13213435428 is 82453431231.

13213435428 is a `hidden beast` number, since 1 + 3 + 213 + 435 + 4 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13213435392 and 13213435401.

It is not an unprimeable number, because it can be changed into a prime (13213435429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14041438 + ... + 14042378.

It is an arithmetic number, because the mean of its divisors is an integer number (243907664).

Almost surely, 213213435428 is an apocalyptic number.

13213435428 is a gapful number since it is divisible by the number (18) 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 13213435428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561351808).

13213435428 is an abundant number, since it is smaller than the sum of its proper divisors (21909268188).

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

13213435428 is a wasteful number, since it uses less digits than its factorization.

13213435428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 13213435428 its reverse (82453431231), we get a palindrome (95666866659).

The spelling of 13213435428 in words is "thirteen billion, two hundred thirteen million, four hundred thirty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 188 193 258 282 386 387 423 516 564 579 772 774 846 941 1158 1548 1692 1737 1882 2021 2316 2823 3474 3764 4042 5646 6063 6948 8084 8299 8469 9071 11292 12126 16598 16938 18142 18189 24252 24897 27213 33196 33876 36284 36378 40463 44227 49794 54426 72756 74691 80926 81639 88454 99588 108852 121389 132681 149382 161852 163278 176908 181613 242778 265362 298764 326556 363226 364167 390053 398043 485556 530724 544839 726452 728334 780106 796086 1089678 1170159 1456668 1560212 1592172 1634517 1901761 2179356 2340318 3269034 3510477 3803522 4680636 5705283 6538068 7020954 7607044 7809359 8535811 11410566 14041908 15618718 17071622 17115849 22821132 23428077 25607433 31237436 34143244 34231698 46856154 51214866 68463396 70284231 76822299 93712308 102429732 140568462 153644598 281136924 307289196 367039873 734079746 1101119619 1468159492 2202239238 3303358857 4404478476 6606717714 13213435428