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20111101200 = 2434523120023
BaseRepresentation
bin10010101110101101…
…110000110100010000
31220220120120210110000
4102232231300310100
5312141420214300
613123334410000
71311241353051
oct225655606420
956816523400
1020111101200
118590212aa3
123a93200900
131b867072a8
14d8ad66728
157ca8b4c00
hex4aeb70d10

20111101200 has 300 divisors, whose sum is σ = 74509143808. Its totient is φ = 5189702400.

The previous prime is 20111101193. The next prime is 20111101217. The reversal of 20111101200 is 210111102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 994389 + ... + 1014411.

Almost surely, 220111101200 is an apocalyptic number.

20111101200 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 20111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37254571904).

20111101200 is an abundant number, since it is smaller than the sum of its proper divisors (54398042608).

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

20111101200 is a wasteful number, since it uses less digits than its factorization.

20111101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20084 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111101200 its reverse (210111102), we get a palindrome (20321212302).

The spelling of 20111101200 in words is "twenty billion, one hundred eleven million, one hundred one thousand, two hundred".