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20210020200 = 23325230373697
BaseRepresentation
bin10010110100100111…
…000110111101101000
31221011110201101210200
4102310213012331220
5312342231121300
613141230512200
71313552223456
oct226447067550
957143641720
1020210020200
118631036337
123b00365660
131ba105ca46
14d9a1559d6
157d4404200
hex4b49c6f68

20210020200 has 144 divisors (see below), whose sum is σ = 67912697580. Its totient is φ = 5386106880.

The previous prime is 20210020169. The next prime is 20210020249. The reversal of 20210020200 is 202001202.

It can be written as a sum of positive squares in 6 ways, for example, as 6336478404 + 13873541796 = 79602^2 + 117786^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5464752 + ... + 5468448.

Almost surely, 220210020200 is an apocalyptic number.

20210020200 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 20210020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33956348790).

20210020200 is an abundant number, since it is smaller than the sum of its proper divisors (47702677380).

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

20210020200 is a wasteful number, since it uses less digits than its factorization.

20210020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6744 counting only the distinct ones).

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

Adding to 20210020200 its reverse (202001202), we get a palindrome (20412021402).

The spelling of 20210020200 in words is "twenty billion, two hundred ten million, twenty 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 3037 3697 6074 7394 9111 11091 12148 14788 15185 18222 18485 22182 24296 27333 29576 30370 33273 36444 36970 44364 45555 54666 55455 60740 66546 72888 73940 75925 88728 91110 92425 109332 110910 121480 133092 136665 147880 151850 166365 182220 184850 218664 221820 227775 266184 273330 277275 303700 332730 364440 369700 443640 455550 546660 554550 607400 665460 683325 739400 831825 911100 1093320 1109100 1330920 1366650 1663650 1822200 2218200 2733300 3327300 5466600 6654600 11227789 22455578 33683367 44911156 56138945 67366734 89822312 101050101 112277890 134733468 168416835 202100202 224555780 269466936 280694725 336833670 404200404 449111560 505250505 561389450 673667340 808400808 842084175 1010501010 1122778900 1347334680 1684168350 2021002020 2245557800 2526252525 3368336700 4042004040 5052505050 6736673400 10105010100 20210020200