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13221210033020 = 22511221292566139
BaseRepresentation
bin1100000001100100110110…
…0001110000101101111100
31201210221020212012112021102
43000121031201300231330
53213104014232024040
644041423503152232
72533125624015353
oct300311541605574
951727225175242
1013221210033020
1142380a1429700
1215964385a5678
1374b9a727a292
14339ca4db099a
1517dda9be5515
hexc064d870b7c

13221210033020 has 72 divisors (see below), whose sum is σ = 30532395625200. Its totient is φ = 4805452664320.

The previous prime is 13221210033019. The next prime is 13221210033049. The reversal of 13221210033020 is 2033001212231.

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 = 13221210032983 and 13221210033001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3869111 + ... + 6435249.

It is an arithmetic number, because the mean of its divisors is an integer number (424061050350).

Almost surely, 213221210033020 is an apocalyptic number.

13221210033020 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 13221210033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266197812600).

13221210033020 is an abundant number, since it is smaller than the sum of its proper divisors (17311185592180).

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

13221210033020 is a wasteful number, since it uses less digits than its factorization.

13221210033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568299 (or 2568286 counting only the distinct ones).

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

Adding to 13221210033020 its reverse (2033001212231), we get a palindrome (15254211245251).

The spelling of 13221210033020 in words is "thirteen trillion, two hundred twenty-one billion, two hundred ten million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2129 2420 4258 8516 10645 21290 23419 42580 46838 93676 117095 234190 257609 468380 515218 1030436 1288045 2566139 2576090 5132278 5152180 10264556 12830695 25661390 28227529 51322780 56455058 112910116 141137645 282275290 310502819 564550580 621005638 1242011276 1552514095 3105028190 5463309931 6210056380 10926619862 21853239724 27316549655 54633099310 60096409241 109266198620 120192818482 240385636964 300482046205 600964092410 661060501651 1201928184820 1322121003302 2644242006604 3305302508255 6610605016510 13221210033020