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11200220200000 = 26551337311549
BaseRepresentation
bin1010001011111100000100…
…1001010111110001000000
31110122201201121021200102101
42202333001021113301000
52432001022332400000
635453150553200144
72234121616615666
oct242770111276100
943581647250371
1011200220200000
113628a9434a687
12130a817100054
1363323a250990
142aa1449b6c36
15146524127e6a
hexa2fc1257c40

11200220200000 has 336 divisors, whose sum is σ = 29999746299600. Its totient is φ = 4124021760000.

The previous prime is 11200220199941. The next prime is 11200220200049. The reversal of 11200220200000 is 202200211.

It can be written as a sum of positive squares in 24 ways, for example, as 10624418478144 + 575801721856 = 3259512^2 + 758816^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11200220200000.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 969794226 + ... + 969805774.

It is an arithmetic number, because the mean of its divisors is an integer number (89284959225).

Almost surely, 211200220200000 is an apocalyptic number.

11200220200000 is a gapful number since it is divisible by the number (10) 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 11200220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999873149800).

11200220200000 is an abundant number, since it is smaller than the sum of its proper divisors (18799526099600).

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

11200220200000 is an equidigital number, since it uses as much as digits as its factorization.

11200220200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11200220200000 its reverse (202200211), we get a palindrome (11200422400211).

The spelling of 11200220200000 in words is "eleven trillion, two hundred billion, two hundred twenty million, two hundred thousand".