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220001110000 = 2454731101383
BaseRepresentation
bin1100110011100100010…
…1101000011111110000
3210000212020220100101021
43030321011220133300
512101030241010000
6245022255145224
721615555403030
oct3147105503760
9700766810337
10220001110000
1185335989181
1236779b15214
1317990cc50c9
14a9105b58c0
155ac935e11a
hex33391687f0

220001110000 has 200 divisors, whose sum is σ = 628379654144. Its totient is φ = 72995040000.

The previous prime is 220001109961. The next prime is 220001110001. The reversal of 220001110000 is 11100022.

220001110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001110001) 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 39 ways as a sum of consecutive naturals, for example, 2119309 + ... + 2220691.

Almost surely, 2220001110000 is an apocalyptic number.

220001110000 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 220001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314189827072).

220001110000 is an abundant number, since it is smaller than the sum of its proper divisors (408378544144).

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

220001110000 is a wasteful number, since it uses less digits than its factorization.

220001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101449 (or 101428 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 220001110000 its reverse (11100022), we get a palindrome (220012210022).

It can be divided in two parts, 2 and 20001110000, that added together give a palindrome (20001110002).

The spelling of 220001110000 in words is "two hundred twenty billion, one million, one hundred ten thousand".