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13320131031220 = 225132167233101279
BaseRepresentation
bin1100000111010101010110…
…1011011011000010110100
31202011101120211111220022111
43001311111223123002310
53221214112020444340
644155103403340404
72543230156435126
oct301652553330264
952141524456274
1013320131031220
114276043791782
1215b1644b21704
1375811037b900
143409aa9db216
15181749345aea
hexc1d55adb0b4

13320131031220 has 144 divisors (see below), whose sum is σ = 30601957800960. Its totient is φ = 4867722083328.

The previous prime is 13320131031217. The next prime is 13320131031227. The reversal of 13320131031220 is 2213013102331.

13320131031220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133201310312202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13320131031191 and 13320131031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320131031227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131468541 + ... + 131569819.

It is an arithmetic number, because the mean of its divisors is an integer number (212513595840).

Almost surely, 213320131031220 is an apocalyptic number.

13320131031220 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 13320131031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300978900480).

13320131031220 is an abundant number, since it is smaller than the sum of its proper divisors (17281826769740).

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

13320131031220 is a wasteful number, since it uses less digits than its factorization.

13320131031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101714 (or 101699 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13320131031220 its reverse (2213013102331), we get a palindrome (15533144133551).

The spelling of 13320131031220 in words is "thirteen trillion, three hundred twenty billion, one hundred thirty-one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 169 233 260 334 338 466 668 676 835 845 932 1165 1670 1690 2171 2330 3029 3340 3380 4342 4660 6058 8684 10855 12116 15145 21710 28223 30290 38911 39377 43420 56446 60580 77822 78754 101279 112892 141115 155644 157508 194555 196885 202558 282230 389110 393770 405116 505843 506395 564460 778220 787540 1011686 1012790 1316627 2023372 2025580 2529215 2633254 5058430 5266508 6575959 6583135 10116860 13151918 13166270 16913593 17116151 23598007 26303836 26332540 32879795 33827186 34232302 47196014 65759590 67654372 68464604 84567965 85580755 94392028 117990035 131519180 169135930 171161510 219876709 235980070 306774091 338271860 342323020 439753418 471960140 613548182 879506836 1099383545 1227096364 1533870455 2198767090 2858397217 3067740910 3940867169 3988063183 4397534180 5716794434 6135481820 7881734338 7976126366 11433588868 14291986085 15763468676 15952252732 19704335845 19940315915 28583972170 39408671690 39880631830 51231273197 57167944340 78817343380 79761263660 102462546394 204925092788 256156365985 512312731970 666006551561 1024625463940 1332013103122 2664026206244 3330032757805 6660065515610 13320131031220