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22120100222000 = 2453111759144653
BaseRepresentation
bin1010000011110001111001…
…01101110101010000110000
32220022122211211001202212012
411001320330231311100300
510344403431124101000
6115013500031422052
74442060463410534
oct501707455652060
986278754052765
1022120100222000
1170590999a6240
122593034984928
13c45bbb723011
145668934a1bc4
152855dba14735
hex141e3cb75430

22120100222000 has 160 divisors (see below), whose sum is σ = 61781086096704. Its totient is φ = 7570515456000.

The previous prime is 22120100221979. The next prime is 22120100222023. The reversal of 22120100222000 is 22200102122.

It is a super-4 number, since 4×221201002220004 (a number of 54 digits) contains 4444 as substring.

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, 29198327 + ... + 29946326.

Almost surely, 222120100222000 is an apocalyptic number.

22120100222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120100222000 is an abundant number, since it is smaller than the sum of its proper divisors (39660985874704).

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

22120100222000 is a wasteful number, since it uses less digits than its factorization.

22120100222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59144704 (or 59144688 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22120100222000 its reverse (22200102122), we get a palindrome (22142300324122).

The spelling of 22120100222000 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 6800 7480 8500 9350 11000 14960 17000 18700 22000 23375 34000 37400 46750 74800 93500 187000 374000 59144653 118289306 236578612 295723265 473157224 591446530 650591183 946314448 1005459101 1182893060 1301182366 1478616325 2010918202 2365786120 2602364732 2957232650 3252955915 4021836404 4731572240 5027295505 5204729464 5914465300 6505911830 7393081625 8043672808 10054591010 10409458928 11060050111 11828930600 13011823660 14786163250 16087345616 16264779575 20109182020 22120100222 23657861200 25136477525 26023647320 29572326500 32529559150 40218364040 44240200444 50272955050 52047294640 55300250555 59144653000 65059118300 80436728080 81323897875 88480400888 100545910100 110600501110 118289306000 125682387625 130118236600 162647795750 176960801776 201091820200 221201002220 251364775250 260236473200 276501252775 325295591500 402183640400 442402004440 502729550500 553002505550 650591183000 884804008880 1005459101000 1106005011100 1301182366000 1382506263875 2010918202000 2212010022200 2765012527750 4424020044400 5530025055500 11060050111000 22120100222000