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20002112200 = 235274327727
BaseRepresentation
bin10010101000001110…
…000000001011001000
31220121222111120122101
4102220032000023020
5311431020042300
613104442403144
71305446101630
oct225016001310
956558446571
1020002112200
118534741a44
123a628004b4
131b69c67165
14d7a6b56c0
157c1036b6a
hex4a83802c8

20002112200 has 144 divisors (see below), whose sum is σ = 54420266880. Its totient is φ = 6697514880.

The previous prime is 20002112197. The next prime is 20002112239. The reversal of 20002112200 is 221120002.

It is a super-2 number, since 2×200021122002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2584737 + ... + 2592463.

It is an arithmetic number, because the mean of its divisors is an integer number (377918520).

Almost surely, 220002112200 is an apocalyptic number.

20002112200 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 20002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210133440).

20002112200 is an abundant number, since it is smaller than the sum of its proper divisors (34418154680).

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

20002112200 is a wasteful number, since it uses less digits than its factorization.

20002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20002112200 its reverse (221120002), we get a palindrome (20223232202).

The spelling of 20002112200 in words is "twenty billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 344 350 430 602 700 860 1075 1204 1400 1505 1720 1849 2150 2408 3010 3698 4300 6020 7396 7525 7727 8600 9245 12040 12943 14792 15050 15454 18490 25886 30100 30908 36980 38635 46225 51772 54089 60200 61816 64715 73960 77270 92450 103544 108178 129430 154540 184900 193175 216356 258860 270445 309080 323575 332261 369800 386350 432712 517720 540890 647150 664522 772700 1081780 1294300 1329044 1352225 1545400 1661305 2163560 2325827 2588600 2658088 2704450 3322610 4651654 5408900 6645220 8306525 9303308 10817800 11629135 13290440 14287223 16613050 18606616 23258270 28574446 33226100 46516540 57148892 58145675 66452200 71436115 93033080 100010561 114297784 116291350 142872230 200021122 232582700 285744460 357180575 400042244 465165400 500052805 571488920 714361150 800084488 1000105610 1428722300 2000211220 2500264025 2857444600 4000422440 5000528050 10001056100 20002112200