Search a number
-
+
13320330100220 = 22511138275631751
BaseRepresentation
bin1100000111010110000110…
…0010110011110111111100
31202011102002201002122122102
43001311201202303313330
53221220014001201340
644155135234204232
72543235124464203
oct301654142636774
952142081078572
1013320330100220
114276136099210
1215b169b723678
1375814269b210
143409c921a23a
1518175ba69215
hexc1d618b3dfc

13320330100220 has 96 divisors (see below), whose sum is σ = 32902767668736. Its totient is φ = 4465752480000.

The previous prime is 13320330100213. The next prime is 13320330100267. The reversal of 13320330100220 is 2200103302331.

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 = 13320330100192 and 13320330100201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450656 + ... + 5181095.

It is an arithmetic number, because the mean of its divisors is an integer number (342737163216).

Almost surely, 213320330100220 is an apocalyptic number.

13320330100220 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 13320330100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451383834368).

13320330100220 is an abundant number, since it is smaller than the sum of its proper divisors (19582437568516).

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

13320330100220 is a wasteful number, since it uses less digits than its factorization.

13320330100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632611 (or 5632609 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13320330100220 its reverse (2200103302331), we get a palindrome (15520433402551).

The spelling of 13320330100220 in words is "thirteen trillion, three hundred twenty billion, three hundred thirty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 827 1430 1654 2860 3308 4135 8270 9097 10751 16540 18194 21502 36388 43004 45485 53755 90970 107510 118261 181940 215020 236522 473044 591305 1182610 2365220 5631751 11263502 22527004 28158755 56317510 61949261 73212763 112635020 123898522 146425526 247797044 292851052 309746305 366063815 619492610 732127630 805340393 1238985220 1464255260 1610680786 3221361572 4026701965 4657458077 8053403930 9314916154 16106807860 18629832308 23287290385 46574580770 51232038847 60546955001 93149161540 102464077694 121093910002 204928155388 242187820004 256160194235 302734775005 512320388470 605469550010 666016505011 1024640776940 1210939100020 1332033010022 2664066020044 3330082525055 6660165050110 13320330100220