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20013434022000 = 2435329033114889
BaseRepresentation
bin1001000110011101111011…
…01000000010100001110000
32121212021011121221112101010
410203032331220002201300
510110400003102201000
6110322013351510520
74133631360230526
oct443167550024160
977767147845333
1020013434022000
116416716835661
1222b28a2688440
13b22349579893
144d29264c6316
1524a8de46bd50
hex1233bda02870

20013434022000 has 160 divisors (see below), whose sum is σ = 64526095333440. Its totient is φ = 5336685465600.

The previous prime is 20013434021993. The next prime is 20013434022013. The reversal of 20013434022000 is 22043431002.

It is a congruent number.

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, 174140556 + ... + 174255444.

It is an arithmetic number, because the mean of its divisors is an integer number (403288095834).

Almost surely, 220013434022000 is an apocalyptic number.

20013434022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013434022000 is an abundant number, since it is smaller than the sum of its proper divisors (44512661311440).

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

20013434022000 is a wasteful number, since it uses less digits than its factorization.

20013434022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143948 (or 143932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20013434022000 its reverse (22043431002), we get a palindrome (20035477453002).

The spelling of 20013434022000 in words is "twenty trillion, thirteen billion, four hundred thirty-four million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 29033 58066 87099 114889 116132 145165 174198 229778 232264 290330 344667 348396 435495 459556 464528 574445 580660 689334 696792 725825 870990 919112 1148890 1161320 1378668 1393584 1451650 1723335 1741980 1838224 2177475 2297780 2322640 2757336 2872225 2903300 3446670 3483960 3629125 4354950 4595560 5514672 5744450 5806600 6893340 6967920 7258250 8616675 8709900 9191120 10887375 11488900 11613200 13786680 14361125 14516500 17233350 17419800 21774750 22977800 27573360 28722250 29033000 34466700 34839600 43083375 43549500 45955600 57444500 58066000 68933400 86166750 87099000 114889000 137866800 172333500 174198000 229778000 344667000 689334000 3335572337 6671144674 10006717011 13342289348 16677861685 20013434022 26684578696 33355723370 40026868044 50033585055 53369157392 66711446740 80053736088 83389308425 100067170110 133422893480 160107472176 166778616850 200134340220 250167925275 266845786960 333557233700 400268680440 416946542125 500335850550 667114467400 800537360880 833893084250 1000671701100 1250839626375 1334228934800 1667786168500 2001343402200 2501679252750 3335572337000 4002686804400 5003358505500 6671144674000 10006717011000 20013434022000