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20110212222000 = 243534377946559
BaseRepresentation
bin1001001001010010001100…
…00011100100110000110000
32122012111222021012110212220
410210221012003210300300
510113441203312101000
6110434300504321040
74143625543322235
oct444510603446060
978174867173786
1020110212222000
11645376958872a
1223095b1473180
13b2b500756c94
144d74a76c578c
1524d1a58ee1a0
hex124a460e4c30

20110212222000 has 160 divisors (see below), whose sum is σ = 66343123292160. Its totient is φ = 5238008697600.

The previous prime is 20110212221963. The next prime is 20110212222011. The reversal of 20110212222000 is 22221201102.

It is a super-2 number, since 2×201102122220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38715280 + ... + 39231279.

It is an arithmetic number, because the mean of its divisors is an integer number (414644520576).

Almost surely, 220110212222000 is an apocalyptic number.

20110212222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110212222000 is an abundant number, since it is smaller than the sum of its proper divisors (46232911070160).

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

20110212222000 is a wasteful number, since it uses less digits than its factorization.

20110212222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77946628 (or 77946612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20110212222000 its reverse (22221201102), we get a palindrome (20132433423102).

The spelling of 20110212222000 in words is "twenty trillion, one hundred ten billion, two hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 86000 129000 258000 77946559 155893118 233839677 311786236 389732795 467679354 623572472 779465590 935358708 1169198385 1247144944 1558931180 1870717416 1948663975 2338396770 3117862360 3351702037 3741434832 3897327950 4676793540 5845991925 6235724720 6703404074 7794655900 9353587080 9743319875 10055106111 11691983850 13406808148 15589311800 16758510185 18707174160 19486639750 20110212222 23383967700 26813616296 29229959625 31178623600 33517020370 38973279500 40220424444 46767935400 50275530555 53627232592 58459919250 67034040740 77946559000 80440848888 83792550925 93535870800 100551061110 116919838500 134068081480 155893118000 160881697776 167585101850 201102122220 233839677000 251377652775 268136162960 335170203700 402204244440 418962754625 467679354000 502755305550 670340407400 804408488880 837925509250 1005510611100 1256888263875 1340680814800 1675851018500 2011021222200 2513776527750 3351702037000 4022042444400 5027553055500 6703404074000 10055106111000 20110212222000