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20020000012200 = 23325252612114089
BaseRepresentation
bin1001000110101010001001…
…11111010011011110101000
32121212220010020000101122100
410203111010333103132220
510111001430000342300
6110325021103453400
74134253156226226
oct443250477233650
977786106011570
1020020000012200
1164194860a5241
1222b40155b7260
13b22b54994096
144d2d8a547b16
1524ab75b05700
hex123544fd37a8

20020000012200 has 144 divisors (see below), whose sum is σ = 67246644851100. Its totient is φ = 5337649382400.

The previous prime is 20020000012139. The next prime is 20020000012267. The reversal of 20020000012200 is 221000002002.

It can be written as a sum of positive squares in 6 ways, for example, as 8543800388484 + 11476199623716 = 2922978^2 + 3387654^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8412756 + ... + 10526844.

Almost surely, 220020000012200 is an apocalyptic number.

20020000012200 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 20020000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33623322425550).

20020000012200 is an abundant number, since it is smaller than the sum of its proper divisors (47226644838900).

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

20020000012200 is a wasteful number, since it uses less digits than its factorization.

20020000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119372 (or 2119360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20020000012200 its reverse (221000002002), we get a palindrome (20241000014202).

The spelling of 20020000012200 in words is "twenty trillion, twenty billion, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 5261 10522 15783 21044 26305 31566 42088 47349 52610 63132 78915 94698 105220 126264 131525 157830 189396 210440 236745 263050 315660 378792 394575 473490 526100 631320 789150 946980 1052200 1183725 1578300 1893960 2114089 2367450 3156600 4228178 4734900 6342267 8456356 9469800 10570445 12684534 16912712 19026801 21140890 25369068 31711335 38053602 42281780 50738136 52852225 63422670 76107204 84563560 95134005 105704450 126845340 152214408 158556675 190268010 211408900 253690680 317113350 380536020 422817800 475670025 634226700 761072040 951340050 1268453400 1902680100 3805360200 11122222229 22244444458 33366666687 44488888916 55611111145 66733333374 88977777832 100100000061 111222222290 133466666748 166833333435 200200000122 222444444580 266933333496 278055555725 333666666870 400400000244 444888889160 500500000305 556111111450 667333333740 800800000488 834166667175 1001000000610 1112222222900 1334666667480 1668333334350 2002000001220 2224444445800 2502500001525 3336666668700 4004000002440 5005000003050 6673333337400 10010000006100 20020000012200