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212020200300 = 223523186326417
BaseRepresentation
bin1100010101110101100…
…0111000001101101100
3202021021001102010110010
43011131120320031230
511433204132402200
6241222320413220
721214025652516
oct3053530701554
9667231363403
10212020200300
1181a0a96a637
1235111177210
1316cbb70732c
14a39467abb6
1557ad885150
hex315d63836c

212020200300 has 144 divisors (see below), whose sum is σ = 633991421952. Its totient is φ = 54649420800.

The previous prime is 212020200257. The next prime is 212020200307. The reversal of 212020200300 is 3002020212.

212020200300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212020200307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8012692 + ... + 8039108.

It is an arithmetic number, because the mean of its divisors is an integer number (4402718208).

Almost surely, 2212020200300 is an apocalyptic number.

212020200300 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 212020200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316995710976).

212020200300 is an abundant number, since it is smaller than the sum of its proper divisors (421971221652).

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

212020200300 is a wasteful number, since it uses less digits than its factorization.

212020200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27328 (or 27321 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 212020200300 its reverse (3002020212), we get a palindrome (215022220512).

The spelling of 212020200300 in words is "two hundred twelve billion, twenty million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 863 930 1550 1726 1860 2325 2589 3100 3452 4315 4650 5178 8630 9300 10356 12945 17260 21575 25890 26417 26753 43150 51780 52834 53506 64725 79251 80259 86300 105668 107012 129450 132085 133765 158502 160518 258900 264170 267530 317004 321036 396255 401295 528340 535060 660425 668825 792510 802590 818927 1320850 1337650 1585020 1605180 1637854 1981275 2006475 2456781 2641700 2675300 3275708 3962550 4012950 4094635 4913562 7925100 8025900 8189270 9827124 12283905 16378540 20473175 22797871 24567810 40946350 45595742 49135620 61419525 68393613 81892700 91191484 113989355 122839050 136787226 227978710 245678100 273574452 341968065 455957420 569946775 683936130 706734001 1139893550 1367872260 1413468002 1709840325 2120202003 2279787100 2826936004 3419680650 3533670005 4240404006 6839361300 7067340010 8480808012 10601010015 14134680020 17668350025 21202020030 35336700050 42404040060 53005050075 70673400100 106010100150 212020200300