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11120132320 = 25511447101
BaseRepresentation
bin10100101101100111…
…11100000011100000
31001200222111020210121
422112303330003200
5140233223213240
65035235010024
7542365364563
oct122663740340
931628436717
1011120132320
114797030000
1221a4139914
131082a9986b
14776c224da
154513be04a
hex296cfc0e0

11120132320 has 240 divisors, whose sum is σ = 29805330240. Its totient is φ = 3918464000.

The previous prime is 11120132291. The next prime is 11120132369. The reversal of 11120132320 is 2323102111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11120132294 and 11120132303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110100270 + ... + 110100370.

It is an arithmetic number, because the mean of its divisors is an integer number (124188876).

Almost surely, 211120132320 is an apocalyptic number.

11120132320 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 11120132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902665120).

11120132320 is an abundant number, since it is smaller than the sum of its proper divisors (18685197920).

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

11120132320 is an equidigital number, since it uses as much as digits as its factorization.

11120132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11120132320 its reverse (2323102111), we get a palindrome (13443234431).

The spelling of 11120132320 in words is "eleven billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twenty".