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13310022012320 = 2551126710261211
BaseRepresentation
bin1100000110101111101100…
…1000100100110110100000
31202010102111022121112101002
43001223323020210312200
53221032411113343240
644150312324131132
72542421516255615
oct301537310446640
952112438545332
1013310022012320
114271826486200
1215ab6a3536aa8
1375718bc10817
143402cc1ba50c
15181356b00d15
hexc1afb224da0

13310022012320 has 144 divisors (see below), whose sum is σ = 35079307701984. Its totient is φ = 4767768614400.

The previous prime is 13310022012263. The next prime is 13310022012341. The reversal of 13310022012320 is 2321022001331.

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 = 13310022012292 and 13310022012301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3833486 + ... + 6427725.

It is an arithmetic number, because the mean of its divisors is an integer number (243606303486).

Almost surely, 213310022012320 is an apocalyptic number.

13310022012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310022012320 is an abundant number, since it is smaller than the sum of its proper divisors (21769285689664).

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

13310022012320 is a wasteful number, since it uses less digits than its factorization.

13310022012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10261315 (or 10261296 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13310022012320 its reverse (2321022001331), we get a palindrome (15631044013651).

The spelling of 13310022012320 in words is "thirteen trillion, three hundred ten billion, twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 67 80 88 110 121 134 160 176 220 242 268 335 352 440 484 536 605 670 737 880 968 1072 1210 1340 1474 1760 1936 2144 2420 2680 2948 3685 3872 4840 5360 5896 7370 8107 9680 10720 11792 14740 16214 19360 23584 29480 32428 40535 58960 64856 81070 117920 129712 162140 259424 324280 648560 1297120 10261211 20522422 41044844 51306055 82089688 102612110 112873321 164179376 205224220 225746642 328358752 410448440 451493284 564366605 687501137 820896880 902986568 1128733210 1241606531 1375002274 1641793760 1805973136 2257466420 2483213062 2750004548 3437505685 3611946272 4514932840 4966426124 5500009096 6208032655 6875011370 7562512507 9029865680 9932852248 11000018192 12416065310 13750022740 15125025014 18059731360 19865704496 22000036384 24832130620 27500045480 30250050028 37812562535 39731408992 49664261240 55000090960 60500100056 75625125070 83187637577 99328522480 110000181920 121000200112 151250250140 166375275154 198657044960 242000400224 302500500280 332750550308 415938187885 605001000560 665501100616 831876375770 1210002001120 1331002201232 1663752751540 2662004402464 3327505503080 6655011006160 13310022012320