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20021020110120 = 23354317592205823
BaseRepresentation
bin1001000110101100000011…
…10010101010110100101000
32121212222202022111201220210
410203112001302222310220
510111011022122010440
6110325310224021120
74134320354014521
oct443260162526450
977788668451823
1020021020110120
1164199599a5977
1222b425b1617a0
13b22c8811a113
144d3045c07848
1524abd5456a80
hex123581caad28

20021020110120 has 128 divisors (see below), whose sum is σ = 61494843801600. Its totient is φ = 5211810342144.

The previous prime is 20021020110107. The next prime is 20021020110181. The reversal of 20021020110120 is 2101102012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20021020110096 and 20021020110105.

It is an unprimeable number.

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, 7973529 + ... + 10179351.

It is an arithmetic number, because the mean of its divisors is an integer number (480428467200).

Almost surely, 220021020110120 is an apocalyptic number.

20021020110120 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 20021020110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30747421900800).

20021020110120 is an abundant number, since it is smaller than the sum of its proper divisors (41473823691480).

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

20021020110120 is a wasteful number, since it uses less digits than its factorization.

20021020110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207639 (or 2207635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021020110120 its reverse (2101102012002), we get a palindrome (22122122122122).

The spelling of 20021020110120 in words is "twenty trillion, twenty-one billion, twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 1759 2580 3518 5160 5277 7036 8795 10554 14072 17590 21108 26385 35180 42216 52770 70360 75637 105540 151274 211080 226911 302548 378185 453822 605096 756370 907644 1134555 1512740 1815288 2205823 2269110 3025480 4411646 4538220 6617469 8823292 9076440 11029115 13234938 17646584 22058230 26469876 33087345 44116460 52939752 66174690 88232920 94850389 132349380 189700778 264698760 284551167 379401556 474251945 569102334 758803112 948503890 1138204668 1422755835 1897007780 2276409336 2845511670 3794015560 3880042657 5691023340 7760085314 11382046680 11640127971 15520170628 19400213285 23280255942 31040341256 38800426570 46560511884 58200639855 77600853140 93121023768 116401279710 155201706280 166841834251 232802559420 333683668502 465605118840 500525502753 667367337004 834209171255 1001051005506 1334734674008 1668418342510 2002102011012 2502627513765 3336836685020 4004204022024 5005255027530 6673673370040 10010510055060 20021020110120