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13230171460 = 22511217218917
BaseRepresentation
bin11000101001001010…
…00110010101000100
31021011000220100100101
430110211012111010
5204043410441320
610024452253444
7645566413312
oct142445062504
937130810311
1013230171460
11567a0a5700
122692911284
13132ac9102c
148d71630b2
1552676ac0a
hex314946544

13230171460 has 108 divisors (see below), whose sum is σ = 32442516036. Its totient is φ = 4527733760.

The previous prime is 13230171433. The next prime is 13230171473. The reversal of 13230171460 is 6417103231.

It can be written as a sum of positive squares in 6 ways, for example, as 1910913796 + 11319257664 = 43714^2 + 106392^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 689922 + ... + 708838.

It is an arithmetic number, because the mean of its divisors is an integer number (300393667).

Almost surely, 213230171460 is an apocalyptic number.

13230171460 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 13230171460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221258018).

13230171460 is an abundant number, since it is smaller than the sum of its proper divisors (19212344576).

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

13230171460 is a wasteful number, since it uses less digits than its factorization.

13230171460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 13230171460 its reverse (6417103231), we get a palindrome (19647274691).

The spelling of 13230171460 in words is "thirteen billion, two hundred thirty million, one hundred seventy-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 289 340 374 484 578 605 748 935 1156 1210 1445 1870 2057 2420 2890 3179 3740 4114 5780 6358 8228 10285 12716 15895 18917 20570 31790 34969 37834 41140 63580 69938 75668 94585 139876 174845 189170 208087 321589 349690 378340 416174 643178 699380 832348 1040435 1286356 1607945 2080870 2288957 3215890 3537479 4161740 4577914 5467013 6431780 7074958 9155828 10934026 11444785 14149916 17687395 21868052 22889570 27335065 35374790 38912269 45779140 54670130 60137143 70749580 77824538 109340260 120274286 155649076 194561345 240548572 300685715 389122690 601371430 661508573 778245380 1202742860 1323017146 2646034292 3307542865 6615085730 13230171460