Search a number
-
+
13003310220 = 2235312613697
BaseRepresentation
bin11000001110000111…
…01100010010001100
31020120020000121020020
430013003230102030
5203112321411340
65550150022140
7640143212265
oct140703542214
936506017206
1013003310220
11557303647a
12262a947950
1312c2c90604
148b4d8b96c
155118a79d0
hex3070ec48c

13003310220 has 144 divisors (see below), whose sum is σ = 38248739424. Its totient is φ = 3299788800.

The previous prime is 13003310213. The next prime is 13003310317. The reversal of 13003310220 is 2201330031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13003310220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3515412 + ... + 3519108.

It is an arithmetic number, because the mean of its divisors is an integer number (265616246).

Almost surely, 213003310220 is an apocalyptic number.

13003310220 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 13003310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124369712).

13003310220 is an abundant number, since it is smaller than the sum of its proper divisors (25245429204).

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

13003310220 is a wasteful number, since it uses less digits than its factorization.

13003310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13003310220 its reverse (2201330031), we get a palindrome (15204640251).

The spelling of 13003310220 in words is "thirteen billion, three million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 122 124 155 183 186 244 305 310 366 372 465 610 620 732 915 930 961 1220 1830 1860 1891 1922 2883 3660 3697 3782 3844 4805 5673 5766 7394 7564 9455 9610 11091 11346 11532 14415 14788 18485 18910 19220 22182 22692 28365 28830 36970 37820 44364 55455 56730 57660 58621 73940 110910 113460 114607 117242 175863 221820 225517 229214 234484 293105 343821 351726 451034 458428 573035 586210 676551 687642 703452 879315 902068 1127585 1146070 1172420 1353102 1375284 1719105 1758630 2255170 2292140 2706204 3382755 3438210 3517260 3552817 4510340 6765510 6876420 6991027 7105634 10658451 13531020 13982054 14211268 17764085 20973081 21316902 27964108 34955135 35528170 41946162 42633804 53292255 69910270 71056340 83892324 104865405 106584510 139820540 209730810 213169020 216721837 419461620 433443674 650165511 866887348 1083609185 1300331022 2167218370 2600662044 3250827555 4334436740 6501655110 13003310220