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22101220222000 = 245368322077331
BaseRepresentation
bin1010000011001110101110…
…11000010110010000110000
32220020212010001000101202221
411001213113120112100300
510344101244334101000
6115001054351450424
74440521561146003
oct501472730262060
986225101011687
1022101220222000
117051090701857
12258b445b26a14
13c441a00ac49a
145659c1c4353a
15284d8428061a
hex1419d7616430

22101220222000 has 160 divisors (see below), whose sum is σ = 53550547974144. Its totient is φ = 8822341088000.

The previous prime is 22101220221929. The next prime is 22101220222007. The reversal of 22101220222000 is 22202210122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22101220222007) by changing a digit.

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, 3014758335 + ... + 3014765665.

Almost surely, 222101220222000 is an apocalyptic number.

22101220222000 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 22101220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775273987072).

22101220222000 is an abundant number, since it is smaller than the sum of its proper divisors (31449327752144).

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

22101220222000 is a wasteful number, since it uses less digits than its factorization.

22101220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22101220222000 its reverse (22202210122), we get a palindrome (22123422432122).

The spelling of 22101220222000 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 683 1000 1366 2000 2207 2732 3415 4414 5464 6830 7331 8828 10928 11035 13660 14662 17075 17656 22070 27320 29324 34150 35312 36655 44140 54640 55175 58648 68300 73310 85375 88280 110350 117296 136600 146620 170750 176560 183275 220700 273200 275875 293240 341500 366550 441400 551750 586480 683000 733100 882800 916375 1103500 1366000 1466200 1507381 1832750 2207000 2932400 3014762 3665500 4414000 5007073 6029524 7331000 7536905 10014146 12059048 14662000 15073810 16179517 20028292 24118096 25035365 30147620 32359034 37684525 40056584 50070730 60295240 64718068 75369050 80113168 80897585 100141460 120590480 125176825 129436136 150738100 161795170 188422625 200282920 250353650 258872272 301476200 323590340 376845250 400565840 404487925 500707300 602952400 625884125 647180680 753690500 808975850 1001414600 1251768250 1294361360 1507381000 1617951700 2002829200 2022439625 2503536500 3014762000 3235903400 4044879250 5007073000 6471806800 8089758500 10014146000 11050610111 16179517000 22101220222 32359034000 44202440444 55253050555 88404880888 110506101110 176809761776 221012202220 276265252775 442024404440 552530505550 884048808880 1105061011100 1381326263875 2210122022200 2762652527750 4420244044400 5525305055500 11050610111000 22101220222000