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111222412442240 = 27511122509128959
BaseRepresentation
bin11001010010011111111100…
…011000100111101010000000
3112120210202111011012220221212
4121102133330120213222000
5104034232000041122430
61032314512040505252
732266361031034031
oct3122377430475200
9476722434186855
10111222412442240
1132491184296920
1210583794a7b228
134a0a2c7cb7ab8
141d6729cccca88
15ccd23bd4bb95
hex6527fc627a80

111222412442240 has 128 divisors (see below), whose sum is σ = 290067613056000. Its totient is φ = 40443869859840.

The previous prime is 111222412442233. The next prime is 111222412442243. The reversal of 111222412442240 is 42244214222111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1112224124422402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 111222412442197 and 111222412442206.

It is not an unprimeable number, because it can be changed into a prime (111222412442243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862398881 + ... + 862527839.

It is an arithmetic number, because the mean of its divisors is an integer number (2266153227000).

Almost surely, 2111222412442240 is an apocalyptic number.

111222412442240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111222412442240 is an abundant number, since it is smaller than the sum of its proper divisors (178845200613760).

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

111222412442240 is a wasteful number, since it uses less digits than its factorization.

111222412442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251498 (or 251486 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 111222412442240 its reverse (42244214222111), we get a palindrome (153466626664351).

The spelling of 111222412442240 in words is "one hundred eleven trillion, two hundred twenty-two billion, four hundred twelve million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 122509 128959 245018 257918 490036 515836 612545 644795 980072 1031672 1225090 1289590 1347599 1418549 1960144 2063344 2450180 2579180 2695198 2837098 3920288 4126688 4900360 5158360 5390396 5674196 6737995 7092745 7840576 8253376 9800720 10316720 10780792 11348392 13475990 14185490 15681152 16506752 19601440 20633440 21561584 22696784 26951980 28370980 39202880 41266880 43123168 45393568 53903960 56741960 78405760 82533760 86246336 90787136 107807920 113483920 172492672 181574272 215615840 226967840 431231680 453935680 862463360 907871360 15798638131 31597276262 63194552524 78993190655 126389105048 157986381310 173785019441 252778210096 315972762620 347570038882 505556420192 631945525240 695140077764 868925097205 1011112840384 1263891050480 1390280155528 1737850194410 2022225680768 2527782100960 2780560311056 3475700388820 5055564201920 5561120622112 6951400777640 10111128403840 11122241244224 13902801555280 22244482488448 27805603110560 55611206221120 111222412442240