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22010220000120 = 23351117443955937
BaseRepresentation
bin1010000000100101001110…
…10110000011001101111000
32212221011020002001011011210
411000102213112003031320
510341103412310000440
6114451204441123120
74431120525055452
oct500224726031570
985834202034153
1022010220000120
117016533426210
12257588a1894a0
13c38729ca3051
1456142c17b2d2
1528280a1cba80
hex1404a7583378

22010220000120 has 128 divisors (see below), whose sum is σ = 72037652279040. Its totient is φ = 5335499427840.

The previous prime is 22010220000113. The next prime is 22010220000187. The reversal of 22010220000120 is 2100002201022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22010220000096 and 22010220000105.

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, 22546792 + ... + 23502728.

It is an arithmetic number, because the mean of its divisors is an integer number (562794158430).

Almost surely, 222010220000120 is an apocalyptic number.

22010220000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010220000120 is an abundant number, since it is smaller than the sum of its proper divisors (50027432278920).

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

22010220000120 is a wasteful number, since it uses less digits than its factorization.

22010220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973405 (or 973401 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22010220000120 its reverse (2100002201022), we get a palindrome (24110222201142).

The spelling of 22010220000120 in words is "twenty-two trillion, ten billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 17443 34886 52329 69772 87215 104658 139544 174430 191873 209316 261645 348860 383746 418632 523290 575619 697720 767492 955937 959365 1046580 1151238 1534984 1911874 1918730 2093160 2302476 2867811 2878095 3823748 3837460 4604952 4779685 5735622 5756190 7647496 7674920 9559370 10515307 11471244 11512380 14339055 19118740 21030614 22942488 23024760 28678110 31545921 38237480 42061228 52576535 57356220 63091842 84122456 105153070 114712440 126183684 157729605 210306140 252367368 315459210 420612280 630918420 1261836840 16674409091 33348818182 50023227273 66697636364 83372045455 100046454546 133395272728 166744090910 183418500001 200092909092 250116136365 333488181820 366837000002 400185818184 500232272730 550255500003 666976363640 733674000004 917092500005 1000464545460 1100511000006 1467348000008 1834185000010 2000929090920 2201022000012 2751277500015 3668370000020 4402044000024 5502555000030 7336740000040 11005110000060 22010220000120