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13303222130120 = 23513431279465173
BaseRepresentation
bin1100000110010110010111…
…0101000101010111001000
31202002202221102102201121012
43001211211311011113020
53220424444331130440
644143225455103052
72542061150234306
oct301454565052710
952082842381535
1013303222130120
11426995709504a
1215aa306211a88
137566472036a0
1433dc45073276
151810a9b65e65
hexc1965d455c8

13303222130120 has 128 divisors (see below), whose sum is σ = 33010235596800. Its totient is φ = 4793965876224.

The previous prime is 13303222130069. The next prime is 13303222130141. The reversal of 13303222130120 is 2103122230331.

It is a super-2 number, since 2×133032221301202 (a number of 27 digits) contains 22 as substring.

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, 28365854 + ... + 28831026.

It is an arithmetic number, because the mean of its divisors is an integer number (257892465600).

Almost surely, 213303222130120 is an apocalyptic number.

13303222130120 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 13303222130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505117798400).

13303222130120 is an abundant number, since it is smaller than the sum of its proper divisors (19707013466680).

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

13303222130120 is a wasteful number, since it uses less digits than its factorization.

13303222130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466519 (or 466515 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13303222130120 its reverse (2103122230331), we get a palindrome (15406344360451).

The spelling of 13303222130120 in words is "thirteen trillion, three hundred three billion, two hundred twenty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1279 1720 2236 2558 2795 4472 5116 5590 6395 10232 11180 12790 16627 22360 25580 33254 51160 54997 66508 83135 109994 133016 166270 219988 274985 332540 439976 465173 549970 665080 714961 930346 1099940 1429922 1860692 2199880 2325865 2859844 3574805 3721384 4651730 5719688 6047249 7149610 9303460 12094498 14299220 18606920 20002439 24188996 28598440 30236245 40004878 48377992 60472490 80009756 100012195 120944980 160019512 200024390 241889960 260031707 400048780 520063414 594956267 800097560 1040126828 1189912534 1300158535 2080253656 2379825068 2600317070 2974781335 4759650136 5200634140 5949562670 7734431471 10401268280 11899125340 15468862942 23798250680 25583119481 30937725884 38672157355 51166238962 61875451768 77344314710 102332477924 127915597405 154688629420 204664955848 255831194810 309377258840 332580553253 511662389620 665161106506 1023324779240 1330322213012 1662902766265 2660644426024 3325805532530 6651611065060 13303222130120