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20210205243400 = 23522336171214687
BaseRepresentation
bin1001001100001100011100…
…00110101011100000001000
32122120002001221201021021221
410212012032012223200020
510122111000020242100
6110552235022011424
74154065504064044
oct446061606534010
978502057637257
1020210205243400
116492110a87697
122324a58a16b74
13b37a77992173
144dc27184b024
15250aa920b01a
hex12618e1ab808

20210205243400 has 96 divisors (see below), whose sum is σ = 49045311613440. Its totient is φ = 7730456053760.

The previous prime is 20210205243329. The next prime is 20210205243433. The reversal of 20210205243400 is 434250201202.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16030857 + ... + 17245543.

It is an arithmetic number, because the mean of its divisors is an integer number (510888662640).

Almost surely, 220210205243400 is an apocalyptic number.

20210205243400 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 20210205243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24522655806720).

20210205243400 is an abundant number, since it is smaller than the sum of its proper divisors (28835106370040).

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

20210205243400 is a wasteful number, since it uses less digits than its factorization.

20210205243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218343 (or 1218334 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20210205243400 its reverse (434250201202), we get a palindrome (20644455444602).

The spelling of 20210205243400 in words is "twenty trillion, two hundred ten billion, two hundred five million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 3617 4600 7234 14468 18085 28936 36170 72340 83191 90425 144680 166382 180850 332764 361700 415955 665528 723400 831910 1214687 1663820 2079775 2429374 3327640 4159550 4858748 6073435 8319100 9717496 12146870 16638200 24293740 27937801 30367175 48587480 55875602 60734350 111751204 121468700 139689005 223502408 242937400 279378010 558756020 698445025 1117512040 1396890050 2793780100 4393522879 5587560200 8787045758 17574091516 21967614395 35148183032 43935228790 87870457580 101051026217 109838071975 175740915160 202102052434 219676143950 404204104868 439352287900 505255131085 808408209736 878704575800 1010510262170 2021020524340 2526275655425 4042041048680 5052551310850 10105102621700 20210205243400