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112012221020220 = 2232517272831341689
BaseRepresentation
bin11001011101111111100000…
…101001001111100000111100
3112200121021010021101210011200
4121131333200221033200330
5104140202012040121340
61034121412015415500
732410421154134313
oct3135774051174074
9480537107353150
10112012221020220
1132766130682394
1210690876224590
134a66926704231
141d935c590327a
15ce3a6556d330
hex65dfe0a4f83c

112012221020220 has 144 divisors (see below), whose sum is σ = 359770352366880. Its totient is φ = 28111819788288.

The previous prime is 112012221020213. The next prime is 112012221020239. The reversal of 112012221020220 is 22020122210211.

It is a happy number.

112012221020220 is a `hidden beast` number, since 1 + 1 + 201 + 2 + 221 + 0 + 20 + 220 = 666.

It is a super-4 number, since 4×1120122210202204 (a number of 57 digits) contains 4444 as substring.

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 = 112012221020193 and 112012221020202.

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, 82815136 + ... + 84156824.

It is an arithmetic number, because the mean of its divisors is an integer number (2498405224770).

Almost surely, 2112012221020220 is an apocalyptic number.

112012221020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012221020220 is an abundant number, since it is smaller than the sum of its proper divisors (247758131346660).

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

112012221020220 is a wasteful number, since it uses less digits than its factorization.

112012221020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369004 (or 1368999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112012221020220 its reverse (22020122210211), we get a palindrome (134032343230431).

The spelling of 112012221020220 in words is "one hundred twelve trillion, twelve billion, two hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 27283 54566 81849 109132 136415 163698 245547 272830 327396 409245 463811 491094 545660 818490 927622 982188 1227735 1341689 1391433 1636980 1855244 2319055 2455470 2683378 2782866 4025067 4174299 4638110 4910940 5366756 5565732 6708445 6957165 8050134 8348598 9276220 12075201 13416890 13914330 16100268 16697196 20125335 20871495 22808713 24150402 26833780 27828660 40250670 41742990 45617426 48300804 60376005 68426139 80501340 83485980 91234852 114043565 120752010 136852278 205278417 228087130 241504020 273704556 342130695 410556834 456174260 684261390 821113668 1026392085 1368522780 2052784170 4105568340 36605300987 73210601974 109815902961 146421203948 183026504935 219631805922 329447708883 366053009870 439263611844 549079514805 622290116779 658895417766 732106019740 1098159029610 1244580233558 1317790835532 1647238544415 1866870350337 2196318059220 2489160467116 3111450583895 3294477088830 3733740700674 5600611051011 6222901167790 6588954177660 7467481401348 9334351751685 11201222102022 12445802335580 18668703503370 22402444204044 28003055255055 37337407006740 56006110510110 112012221020220