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13000301323020 = 223251161107636209
BaseRepresentation
bin1011110100101101111001…
…0101111010001100001100
31201000211001100111022202100
42331023132111322030030
53200444104114314040
643352131142555100
72511145404661224
oct275133625721414
951024040438670
1013000301323020
1141624401a8190
12155b666738a90
13733c0022a46b
1432d30a061084
1517827ad57b30
hexbd2de57a30c

13000301323020 has 144 divisors (see below), whose sum is σ = 43724411771040. Its totient is φ = 3099922790400.

The previous prime is 13000301322977. The next prime is 13000301323049. The reversal of 13000301323020 is 2032310300031.

13000301323020 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 301 + 32 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13000301322984 and 13000301323002.

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, 53697325 + ... + 53938884.

It is an arithmetic number, because the mean of its divisors is an integer number (303641748410).

Almost surely, 213000301323020 is an apocalyptic number.

13000301323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000301323020 is an abundant number, since it is smaller than the sum of its proper divisors (30724110448020).

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

13000301323020 is a wasteful number, since it uses less digits than its factorization.

13000301323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107636296 (or 107636291 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13000301323020 its reverse (2032310300031), we get a palindrome (15032611623051).

The spelling of 13000301323020 in words is "thirteen trillion, three hundred one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 10065 10980 12078 13420 20130 24156 30195 40260 60390 120780 107636209 215272418 322908627 430544836 538181045 645817254 968725881 1076362090 1183998299 1291634508 1614543135 1937451762 2152724180 2367996598 3229086270 3551994897 3874903524 4735993196 4843629405 5919991495 6458172540 6565808749 7103989794 9687258810 10655984691 11839982990 13131617498 14207979588 17759974485 19374517620 19697426247 21311969382 23679965980 26263234996 32829043745 35519948970 39394852494 42623938764 53279923455 59092278741 65658087490 71039897940 72223896239 78789704988 98487131235 106559846910 118184557482 131316174980 144447792478 196974262470 213119693820 216671688717 236369114964 288895584956 295461393705 361119481195 393948524940 433343377434 590922787410 650015066151 722238962390 866686754868 1083358443585 1181845574820 1300030132302 1444477924780 2166716887170 2600060264604 3250075330755 4333433774340 6500150661510 13000301323020