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13310012032220 = 22543317475910259
BaseRepresentation
bin1100000110101111101010…
…0010100000010011011100
31202010102110121211111020202
43001223322202200103130
53221032401040012340
644150311330203032
72542421335401251
oct301537242402334
952112417744222
1013310012032220
114271820889a92
1215ab6a0123478
13757189b28037
143402cab3d428
15181355ccdc15
hexc1afa8a04dc

13310012032220 has 96 divisors (see below), whose sum is σ = 28700099366400. Its totient is φ = 5182191915264.

The previous prime is 13310012032193. The next prime is 13310012032223. The reversal of 13310012032220 is 2223021001331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13310012032192 and 13310012032201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310012032223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297393451 + ... + 1297403709.

It is an arithmetic number, because the mean of its divisors is an integer number (298959368400).

Almost surely, 213310012032220 is an apocalyptic number.

13310012032220 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 13310012032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350049683200).

13310012032220 is an abundant number, since it is smaller than the sum of its proper divisors (15390087334180).

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

13310012032220 is a wasteful number, since it uses less digits than its factorization.

13310012032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15387 (or 15385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13310012032220 its reverse (2223021001331), we get a palindrome (15533033033551).

The spelling of 13310012032220 in words is "thirteen trillion, three hundred ten billion, twelve million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 317 430 634 860 1268 1585 3170 4759 6340 9518 10259 13631 19036 20518 23795 27262 41036 47590 51295 54524 68155 95180 102590 136310 204637 205180 272620 409274 441137 818548 882274 1023185 1508603 1764548 2046370 2205685 3017206 3252103 4092740 4411370 6034412 6504206 7543015 8822740 13008412 15086030 16260515 30172060 32521030 48822581 64869929 65042060 97645162 129739858 139840429 195290324 244112905 259479716 279680858 324349645 488225810 559361716 648699290 699202145 976451620 1297398580 1398404290 2099370983 2796808580 4198741966 8397483932 10496854915 15476758177 20993709830 30953516354 41987419660 61907032708 77383790885 154767581770 309535163540 665500601611 1331001203222 2662002406444 3327503008055 6655006016110 13310012032220