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220002011100 = 2232523712752021
BaseRepresentation
bin1100110011100100100…
…1000100011111011100
3210000212022121010110100
43030321021010133130
512101031003323400
6245022330341100
721615566145114
oct3147111043734
9700768533410
10220002011100
1185336444193
123677a28a790
131799124c2c1
14a91076c044
155ac948b100
hex33392447dc

220002011100 has 216 divisors, whose sum is σ = 713811757568. Its totient is φ = 56631052800.

The previous prime is 220002011093. The next prime is 220002011147. The reversal of 220002011100 is 1110200022.

220002011100 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 (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, 4203090 + ... + 4255110.

Almost surely, 2220002011100 is an apocalyptic number.

220002011100 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 220002011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356905878784).

220002011100 is an abundant number, since it is smaller than the sum of its proper divisors (493809746468).

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

220002011100 is a wasteful number, since it uses less digits than its factorization.

220002011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52205 (or 52195 counting only the distinct ones).

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

Adding to 220002011100 its reverse (1110200022), we get a palindrome (221112211122).

The spelling of 220002011100 in words is "two hundred twenty billion, two million, eleven thousand, one hundred".