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212020300200 = 233521231287057
BaseRepresentation
bin1100010101110101100…
…1010000100110101000
3202021021001121012111010
43011131121100212220
511433204144101300
6241222322503520
721214026550002
oct3053531204650
9667231535433
10212020300200
1181a0aa286a5
1235111204ba0
1316cbb740947
14a3946a5372
1557ad8a4a50
hex315d6509a8

212020300200 has 96 divisors (see below), whose sum is σ = 657799148160. Its totient is φ = 56492620800.

The previous prime is 212020300189. The next prime is 212020300201. The reversal of 212020300200 is 2003020212.

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 (212020300201) by changing a digit.

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, 595072 + ... + 882128.

It is an arithmetic number, because the mean of its divisors is an integer number (6852074460).

Almost surely, 2212020300200 is an apocalyptic number.

212020300200 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 212020300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328899574080).

212020300200 is an abundant number, since it is smaller than the sum of its proper divisors (445778847960).

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

212020300200 is a wasteful number, since it uses less digits than its factorization.

212020300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288307 (or 288298 counting only the distinct ones).

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

Adding to 212020300200 its reverse (2003020212), we get a palindrome (214023320412).

The spelling of 212020300200 in words is "two hundred twelve billion, twenty million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1231 2462 3693 4924 6155 7386 9848 12310 14772 18465 24620 29544 30775 36930 49240 61550 73860 92325 123100 147720 184650 246200 287057 369300 574114 738600 861171 1148228 1435285 1722342 2296456 2870570 3444684 4305855 5741140 6889368 7176425 8611710 11482280 14352850 17223420 21529275 28705700 34446840 43058550 57411400 86117100 172234200 353367167 706734334 1060101501 1413468668 1766835835 2120203002 2826937336 3533671670 4240406004 5300507505 7067343340 8480812008 8834179175 10601015010 14134686680 17668358350 21202030020 26502537525 35336716700 42404060040 53005075050 70673433400 106010150100 212020300200