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220020320313120 = 25353114786311849
BaseRepresentation
bin110010000001101101111001…
…000010010001111100100000
31001212000201220102100102110210
4302001231321002101330200
5212314303104000004440
62055535534554254120
764225641434215005
oct6201557102217440
91055021812312423
10220020320313120
1164118103998398
12208154b4127340
13959ca9a40b122
143c4907c9078ac
151a68377d63a80
hexc81b79091f20

220020320313120 has 96 divisors (see below), whose sum is σ = 715420912550400. Its totient is φ = 56779437496320.

The previous prime is 220020320313109. The next prime is 220020320313251. The reversal of 220020320313120 is 21313023020022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7393141045 + ... + 7393170804.

It is an arithmetic number, because the mean of its divisors is an integer number (7452301172400).

Almost surely, 2220020320313120 is an apocalyptic number.

220020320313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220020320313120 is an abundant number, since it is smaller than the sum of its proper divisors (495400592237280).

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

220020320313120 is a wasteful number, since it uses less digits than its factorization.

220020320313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14786311898 (or 14786311890 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220020320313120 its reverse (21313023020022), we get a palindrome (241333343333142).

The spelling of 220020320313120 in words is "two hundred twenty trillion, twenty billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 14786311849 29572623698 44358935547 59145247396 73931559245 88717871094 118290494792 147863118490 177435742188 221794677735 236580989584 295726236980 354871484376 443589355470 458375667319 473161979168 591452473960 709742968752 887178710940 916751334638 1182904947920 1375127001957 1419485937504 1774357421880 1833502669276 2291878336595 2365809895840 2750254003914 3548714843760 3667005338552 4583756673190 5500508007828 6875635009785 7097429687520 7334010677104 9167513346380 11001016015656 13751270019570 14668021354208 18335026692760 22002032031312 27502540039140 36670053385520 44004064062624 55005080078280 73340106771040 110010160156560 220020320313120