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220323313111000 = 235311130031540367
BaseRepresentation
bin110010000110001000000100…
…110100000100111111011000
31001220002200222111202100002211
4302012020010310010333120
5212334234121124023000
62100331044401404504
764256556042415531
oct6206100464047730
91056080874670084
10220323313111000
1164224657485a70
1220864173939734
1395c252629c048
143c599c32d9688
151a711ad1427ba
hexc86204d04fd8

220323313111000 has 128 divisors (see below), whose sum is σ = 562468948853760. Its totient is φ = 80111354928000.

The previous prime is 220323313110973. The next prime is 220323313111037. The reversal of 220323313111000 is 111313323022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142262817 + ... + 143803183.

It is an arithmetic number, because the mean of its divisors is an integer number (4394288662920).

Almost surely, 2220323313111000 is an apocalyptic number.

220323313111000 is a gapful number since it is divisible by the number (20) 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 220323313111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281234474426880).

220323313111000 is an abundant number, since it is smaller than the sum of its proper divisors (342145635742760).

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

220323313111000 is a wasteful number, since it uses less digits than its factorization.

220323313111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553402 (or 1553388 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 220323313111000 its reverse (111313323022), we get a palindrome (220434626434022).

The spelling of 220323313111000 in words is "two hundred twenty trillion, three hundred twenty-three billion, three hundred thirteen million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 13003 26006 52012 65015 104024 130030 143033 260060 286066 325075 520120 572132 650150 715165 1144264 1300300 1430330 1540367 1625375 2600600 2860660 3080734 3250750 3575825 5721320 6161468 6501500 7151650 7701835 12322936 13003000 14303300 15403670 16944037 17879125 28606600 30807340 33888074 35758250 38509175 61614680 67776148 71516500 77018350 84720185 135552296 143033000 154036700 169440370 192545875 308073400 338880740 385091750 423600925 677761480 770183500 847201850 1540367000 1694403700 2118004625 3388807400 4236009250 8472018500 16944037000 20029392101 40058784202 80117568404 100146960505 160235136808 200293921010 220323313111 400587842020 440646626222 500734802525 801175684040 881293252444 1001469605050 1101616565555 1762586504888 2002939210100 2203233131110 2503674012625 4005878420200 4406466262220 5007348025250 5508082827775 8812932524440 10014696050500 11016165655550 20029392101000 22032331311100 27540414138875 44064662622200 55080828277750 110161656555500 220323313111000