Search a number
-
+
13030412340 = 223511163121123
BaseRepresentation
bin11000010001010110…
…00101000000110100
31020122010000112100110
430020223011000310
5203141241143330
65552554543020
7640622451231
oct141053050064
936563015313
1013030412340
115587367720
122637a37a70
1312c878c57a
148b8804788
15513e5cdb0
hex308ac5034

13030412340 has 96 divisors (see below), whose sum is σ = 40046501376. Its totient is φ = 3139482240.

The previous prime is 13030412309. The next prime is 13030412357. The reversal of 13030412340 is 4321403031.

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, 47019 + ... + 168141.

It is an arithmetic number, because the mean of its divisors is an integer number (417151056).

Almost surely, 213030412340 is an apocalyptic number.

13030412340 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 13030412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20023250688).

13030412340 is an abundant number, since it is smaller than the sum of its proper divisors (27016089036).

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

13030412340 is a wasteful number, since it uses less digits than its factorization.

13030412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121309 (or 121307 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13030412340 its reverse (4321403031), we get a palindrome (17351815371).

The spelling of 13030412340 in words is "thirteen billion, thirty million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 652 660 815 978 1630 1793 1956 2445 3260 3586 4890 5379 7172 8965 9780 10758 17930 21516 26895 35860 53790 107580 121123 242246 363369 484492 605615 726738 1211230 1332353 1453476 1816845 2422460 2664706 3633690 3997059 5329412 6661765 7267380 7994118 13323530 15988236 19743049 19985295 26647060 39486098 39970590 59229147 78972196 79941180 98715245 118458294 197430490 217173539 236916588 296145735 394860980 434347078 592291470 651520617 868694156 1085867695 1184582940 1303041234 2171735390 2606082468 3257603085 4343470780 6515206170 13030412340