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220102010200 = 235243113293773
BaseRepresentation
bin1100110011111100011…
…0100010010101011000
3210001010021202121102201
43030333012202111120
512101232103311300
6245040301535544
721621222134512
oct3147706422530
9701107677381
10220102010200
1185387934a76
12367a78745b4
13179a8b92577
14a91db5cbb2
155ad314066a
hex333f1a2558

220102010200 has 192 divisors, whose sum is σ = 530760716640. Its totient is φ = 84831559680.

The previous prime is 220102010159. The next prime is 220102010209. The reversal of 220102010200 is 2010201022.

220102010200 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102010209) 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, 284737014 + ... + 284737786.

Almost surely, 2220102010200 is an apocalyptic number.

220102010200 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 220102010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265380358320).

220102010200 is an abundant number, since it is smaller than the sum of its proper divisors (310658706440).

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

220102010200 is a wasteful number, since it uses less digits than its factorization.

220102010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220102010200 its reverse (2010201022), we get a palindrome (222112211222).

The spelling of 220102010200 in words is "two hundred twenty billion, one hundred two million, ten thousand, two hundred".