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210020020200 = 233252539921611
BaseRepresentation
bin1100001110011000101…
…0110010111111101000
3202002002122201110011200
43003212022302333220
511420110111121300
6240252025524200
721113330500614
oct3034612627750
9662078643150
10210020020200
118108390a731
1234853343660
1316a601c9003
14a244b76344
1556e2e89200
hex30e62b2fe8

210020020200 has 144 divisors (see below), whose sum is σ = 705480516000. Its totient is φ = 55992374400.

The previous prime is 210020020139. The next prime is 210020020201. The reversal of 210020020200 is 2020020012.

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

It is not an unprimeable number, because it can be changed into a prime (210020020201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9707395 + ... + 9729005.

It is an arithmetic number, because the mean of its divisors is an integer number (4899170250).

Almost surely, 2210020020200 is an apocalyptic number.

210020020200 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 210020020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352740258000).

210020020200 is an abundant number, since it is smaller than the sum of its proper divisors (495460495800).

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

210020020200 is a wasteful number, since it uses less digits than its factorization.

210020020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27032 (or 27020 counting only the distinct ones).

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

Adding to 210020020200 its reverse (2020020012), we get a palindrome (212040040212).

The spelling of 210020020200 in words is "two hundred ten billion, twenty 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 5399 10798 16197 21596 21611 26995 32394 43192 43222 48591 53990 64788 64833 80985 86444 97182 107980 108055 129576 129666 134975 161970 172888 194364 194499 215960 216110 242955 259332 269950 323940 324165 388728 388998 404925 432220 485910 518664 539900 540275 647880 648330 777996 809850 864440 971820 972495 1079800 1080550 1214775 1296660 1555992 1619700 1620825 1943640 1944990 2161100 2429550 2593320 3239400 3241650 3889980 4322200 4859100 4862475 6483300 7779960 9718200 9724950 12966600 19449900 38899800 116677789 233355578 350033367 466711156 583388945 700066734 933422312 1050100101 1166777890 1400133468 1750166835 2100200202 2333555780 2800266936 2916944725 3500333670 4200400404 4667111560 5250500505 5833889450 7000667340 8400800808 8750834175 10501001010 11667778900 14001334680 17501668350 21002002020 23335557800 26252502525 35003336700 42004004040 52505005050 70006673400 105010010100 210020020200