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13300130313220 = 225176728714197
BaseRepresentation
bin1100000110001010110110…
…0010101111010000000100
31202002110221221122011011011
43001202231202233100010
53220402131330010340
644141555010452004
72541621425231002
oct301425542572004
952073857564134
1013300130313220
11426860a912273
1215a97a2894004
137562737b222a
1433da305a9a72
15180e784d70ea
hexc18ad8af404

13300130313220 has 72 divisors (see below), whose sum is σ = 30021213816216. Its totient is φ = 4932374363136.

The previous prime is 13300130313179. The next prime is 13300130313307. The reversal of 13300130313220 is 2231303100331.

It can be written as a sum of positive squares in 4 ways, for example, as 5329412336704 + 7970717976516 = 2308552^2 + 2823246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13300130313191 and 13300130313200.

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, 2830839 + ... + 5883358.

It is an arithmetic number, because the mean of its divisors is an integer number (416961303003).

Almost surely, 213300130313220 is an apocalyptic number.

13300130313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300130313220 is an abundant number, since it is smaller than the sum of its proper divisors (16721083502996).

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

13300130313220 is a wasteful number, since it uses less digits than its factorization.

13300130313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714357 (or 8714288 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13300130313220 its reverse (2231303100331), we get a palindrome (15531433413551).

The spelling of 13300130313220 in words is "thirteen trillion, three hundred billion, one hundred thirty million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4489 4556 5695 8978 11390 17956 22445 22780 44890 76313 89780 152626 305252 381565 763130 1526260 8714197 17428394 34856788 43570985 87141970 148141349 174283940 296282698 583851199 592565396 740706745 1167702398 1481413490 2335404796 2919255995 2962826980 5838511990 9925470383 11677023980 19850940766 39118030333 39701881532 49627351915 78236060666 99254703830 156472121332 195590151665 198509407660 391180303330 665006515661 782360606660 1330013031322 2660026062644 3325032578305 6650065156610 13300130313220