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212020210200 = 233521039340103
BaseRepresentation
bin1100010101110101100…
…0111010101000011000
3202021021001102122000210
43011131120322220120
511433204133211300
6241222320531120
721214026023421
oct3053530725030
9667231378023
10212020210200
1181a0a977017
1235111180aa0
1316cbb70b9a6
14a394680648
1557ad888050
hex315d63aa18

212020210200 has 96 divisors (see below), whose sum is σ = 657897177600. Its totient is φ = 56484140160.

The previous prime is 212020210177. The next prime is 212020210247. The reversal of 212020210200 is 2012020212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453349 + ... + 793451.

It is an arithmetic number, because the mean of its divisors is an integer number (6853095600).

Almost surely, 2212020210200 is an apocalyptic number.

212020210200 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 212020210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328948588800).

212020210200 is an abundant number, since it is smaller than the sum of its proper divisors (445876967400).

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

212020210200 is a wasteful number, since it uses less digits than its factorization.

212020210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341161 (or 341152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212020210200 its reverse (2012020212), we get a palindrome (214032230412).

The spelling of 212020210200 in words is "two hundred twelve billion, twenty million, two hundred ten 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 1039 2078 3117 4156 5195 6234 8312 10390 12468 15585 20780 24936 25975 31170 41560 51950 62340 77925 103900 124680 155850 207800 311700 340103 623400 680206 1020309 1360412 1700515 2040618 2720824 3401030 4081236 5101545 6802060 8162472 8502575 10203090 13604120 17005150 20406180 25507725 34010300 40812360 51015450 68020600 102030900 204061800 353367017 706734034 1060101051 1413468068 1766835085 2120202102 2826936136 3533670170 4240404204 5300505255 7067340340 8480808408 8834175425 10601010510 14134680680 17668350850 21202021020 26502526275 35336701700 42404042040 53005052550 70673403400 106010105100 212020210200