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20111344200 = 23345219223293
BaseRepresentation
bin10010101110101110…
…101100001001001000
31220220121001010210000
4102232232230021020
5312142001003300
613123343523000
71311243414363
oct225656541110
956817033700
1020111344200
118590369622
123a932b9460
131b86790a8c
14d8adcb0da
157ca911c00
hex4aebac248

20111344200 has 480 divisors, whose sum is σ = 74107756800. Its totient is φ = 5040714240.

The previous prime is 20111344193. The next prime is 20111344223. The reversal of 20111344200 is 244311102.

20111344200 is a `hidden beast` number, since 201 + 11 + 34 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68639254 + ... + 68639546.

It is an arithmetic number, because the mean of its divisors is an integer number (154391160).

Almost surely, 220111344200 is an apocalyptic number.

20111344200 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 20111344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37053878400).

20111344200 is an abundant number, since it is smaller than the sum of its proper divisors (53996412600).

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

20111344200 is a wasteful number, since it uses less digits than its factorization.

20111344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20111344200 its reverse (244311102), we get a palindrome (20355655302).

The spelling of 20111344200 in words is "twenty billion, one hundred eleven million, three hundred forty-four thousand, two hundred".