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11100112011120 = 243511172101283509
BaseRepresentation
bin1010000110000111001000…
…1110111011111101110000
31110022011022220001202221010
42201201302032323331300
52423331012133323440
635335153203230520
72223646060221006
oct241416216737560
943264286052833
1011100112011120
11359a59293a690
1212b3339078440
136269751c1362
142a5369432a76
15143b1566c580
hexa18723bbf70

11100112011120 has 960 divisors, whose sum is σ = 40493120417280. Its totient is φ = 2493800448000.

The previous prime is 11100112011113. The next prime is 11100112011139. The reversal of 11100112011120 is 2111021100111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100112011096 and 11100112011105.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 21807685426 + ... + 21807685934.

It is an arithmetic number, because the mean of its divisors is an integer number (42180333768).

Almost surely, 211100112011120 is an apocalyptic number.

11100112011120 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 11100112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246560208640).

11100112011120 is an abundant number, since it is smaller than the sum of its proper divisors (29393008406160).

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

11100112011120 is a wasteful number, since it uses less digits than its factorization.

11100112011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11100112011120 its reverse (2111021100111), we get a palindrome (13211133111231).

It can be divided in two parts, 111001 and 12011120, that added together give a palindrome (12122121).

The spelling of 11100112011120 in words is "eleven trillion, one hundred billion, one hundred twelve million, eleven thousand, one hundred twenty".