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220011330000 = 243547112341101
BaseRepresentation
bin1100110011100110110…
…0100111100111010000
3210000212222010120120210
43030321230213213100
512101040400030000
6245023302204120
721616041306660
oct3147154474720
9700788116523
10220011330000
1185340729660
1236781423640
1317993162b47
14a911ab61a0
155aca1cc350
hex3339b279d0

220011330000 has 1600 divisors, whose sum is σ = 955882819584. Its totient is φ = 42240000000.

The previous prime is 220011329983. The next prime is 220011330001. The reversal of 220011330000 is 33110022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 (220011330001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2178329950 + ... + 2178330050.

Almost surely, 2220011330000 is an apocalyptic number.

220011330000 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 220011330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477941409792).

220011330000 is an abundant number, since it is smaller than the sum of its proper divisors (735871489584).

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

220011330000 is a wasteful number, since it uses less digits than its factorization.

220011330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 220011330000 its reverse (33110022), we get a palindrome (220044440022).

The spelling of 220011330000 in words is "two hundred twenty billion, eleven million, three hundred thirty thousand".