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220101010200 = 233252832416113
BaseRepresentation
bin1100110011111100001…
…0101110001100011000
3210001010012212210200200
43030333002232030120
512101231324311300
6245040224302200
721621210501201
oct3147702561430
9701105783620
10220101010200
1185387311725
12367a7471960
13179a8902356
14a91d97c5a8
155ad2ee4200
hex333f0ae318

220101010200 has 288 divisors, whose sum is σ = 751305194640. Its totient is φ = 57736396800.

The previous prime is 220101010189. The next prime is 220101010211. The reversal of 220101010200 is 2010101022.

220101010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220101010189) and next prime (220101010211).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 36002344 + ... + 36008456.

Almost surely, 2220101010200 is an apocalyptic number.

220101010200 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 220101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375652597320).

220101010200 is an abundant number, since it is smaller than the sum of its proper divisors (531204184440).

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

220101010200 is a wasteful number, since it uses less digits than its factorization.

220101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220101010200 its reverse (2010101022), we get a palindrome (222111111222).

The spelling of 220101010200 in words is "two hundred twenty billion, one hundred one million, ten thousand, two hundred".