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13302313104220 = 2257791249962963
BaseRepresentation
bin1100000110010010111110…
…1001011011001101011100
31202002200121001221102111021
43001210233221123031130
53220421114123313340
644142555343333524
72542026501524110
oct301445751331534
952080531842437
1013302313104220
11426952aa58478
1215aa0b18b12a4
13756530a9993a
1433db9a447740
15181054e54e4a
hexc192fa5b35c

13302313104220 has 96 divisors (see below), whose sum is σ = 32355590400000. Its totient is φ = 4499451500544.

The previous prime is 13302313104169. The next prime is 13302313104233. The reversal of 13302313104220 is 2240131320331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332459 + ... + 14295421.

It is an arithmetic number, because the mean of its divisors is an integer number (337037400000).

Almost surely, 213302313104220 is an apocalyptic number.

13302313104220 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 13302313104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177795200000).

13302313104220 is an abundant number, since it is smaller than the sum of its proper divisors (19053277295780).

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

13302313104220 is a wasteful number, since it uses less digits than its factorization.

13302313104220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964307 (or 964305 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13302313104220 its reverse (2240131320331), we get a palindrome (15542444424551).

The spelling of 13302313104220 in words is "thirteen trillion, three hundred two billion, three hundred thirteen million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1249 1580 2212 2498 2765 4996 5530 6245 8743 11060 12490 17486 24980 34972 43715 87430 98671 174860 197342 394684 493355 690697 962963 986710 1381394 1925926 1973420 2762788 3453485 3851852 4814815 6740741 6906970 9629630 13481482 13813940 19259260 26962964 33703705 67407410 76074077 134814820 152148154 304296308 380370385 532518539 760740770 1065037078 1202740787 1521481540 2130074156 2405481574 2662592695 4810963148 5325185390 6013703935 8419185509 10650370780 12027407870 16838371018 24054815740 33676742036 42095927545 84191855090 95016522173 168383710180 190033044346 380066088692 475082610865 665115655211 950165221730 1330231310422 1900330443460 2660462620844 3325578276055 6651156552110 13302313104220