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13120430020220 = 22523243125922907
BaseRepresentation
bin1011111011101101011010…
…0100100001011001111100
31201110022010022211102121202
42332323112210201121330
53204431120041121340
643523235313515032
72522630326030145
oct276732644413174
951408108742552
1013120430020220
1141a9385774426
12157a9b1572a78
13742335c95303
14335064508acc
1517b45c280c15
hexbeed692167c

13120430020220 has 144 divisors (see below), whose sum is σ = 29497473371520. Its totient is φ = 4899138211968.

The previous prime is 13120430020171. The next prime is 13120430020249. The reversal of 13120430020220 is 2202003402131.

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 = 13120430020192 and 13120430020201.

It is a congruent number.

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, 572758007 + ... + 572780913.

It is an arithmetic number, because the mean of its divisors is an integer number (204843565080).

Almost surely, 213120430020220 is an apocalyptic number.

13120430020220 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 13120430020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748736685760).

13120430020220 is an abundant number, since it is smaller than the sum of its proper divisors (16377043351300).

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

13120430020220 is a wasteful number, since it uses less digits than its factorization.

13120430020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24264 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13120430020220 its reverse (2202003402131), we get a palindrome (15322433422351).

The spelling of 13120430020220 in words is "thirteen trillion, one hundred twenty billion, four hundred thirty million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 529 860 989 1058 1259 1978 2116 2518 2645 3956 4945 5036 5290 6295 9890 10580 12590 19780 22747 22907 25180 28957 45494 45814 54137 57914 90988 91628 108274 113735 114535 115828 144785 216548 227470 229070 270685 289570 454940 458140 526861 541370 579140 666011 985001 1053722 1082740 1245151 1332022 1970002 2107444 2490302 2634305 2664044 3330055 3940004 4925005 4980604 5268610 6225755 6660110 9850010 10537220 12117803 12451510 13320220 19700020 22655023 24235606 24903020 28638473 28839913 45310046 48471212 57276946 57679826 60589015 90620092 113275115 114553892 115359652 121178030 143192365 144199565 226550230 242356060 286384730 288399130 453100460 521065529 572769460 576798260 663317999 1042131058 1240116259 1326635998 2084262116 2480232518 2605327645 2653271996 3316589995 4960465036 5210655290 6200581295 6633179990 10421310580 12401162590 13266359980 15256313977 24802325180 28522673957 30512627954 57045347914 61025255908 76281569885 114090695828 142613369785 152563139770 285226739570 305126279540 570453479140 656021501011 1312043002022 2624086004044 3280107505055 6560215010110 13120430020220