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201120011101200 = 243525932161130787
BaseRepresentation
bin101101101110101011100110…
…110100011010010000010000
3222101002212220101010002112110
4231232223212310122100100
5202330122240320214300
61551425131350225320
760235304235513132
oct5556534664322020
9871085811102473
10201120011101200
11590a0577095904
121a6824a4955240
13882b6c6b2a929
143794390a63052
15183b8d6750550
hexb6eae6d1a410

201120011101200 has 240 divisors, whose sum is σ = 645644435236416. Its totient is φ = 53516375654400.

The previous prime is 201120011101183. The next prime is 201120011101241. The reversal of 201120011101200 is 2101110021102.

201120011101200 is digitally balanced in base 3, 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 (240).

It is a super-2 number, since 2×2011200111012002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537702207 + ... + 1537832993.

Almost surely, 2201120011101200 is an apocalyptic number.

201120011101200 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 201120011101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322822217618208).

201120011101200 is an abundant number, since it is smaller than the sum of its proper divisors (444524424135216).

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

201120011101200 is a wasteful number, since it uses less digits than its factorization.

201120011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133562 (or 133551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201120011101200 its reverse (2101110021102), we get a palindrome (203221121122302).

The spelling of 201120011101200 in words is "two hundred one trillion, one hundred twenty billion, eleven million, one hundred one thousand, two hundred".