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11140231320 = 2334559101577
BaseRepresentation
bin10100110000000001…
…00111000010011000
31001202101022101110000
422120000213002120
5140303344400240
65041233453000
7543031255341
oct123000470230
931671271400
1011140231320
1147a7408749
1221aaa11160
131086cb606a
147797750c8
1545303e430
hex298027098

11140231320 has 320 divisors, whose sum is σ = 38521850400. Its totient is φ = 2886451200.

The previous prime is 11140231283. The next prime is 11140231369. The reversal of 11140231320 is 2313204111.

11140231320 is a `hidden beast` number, since 1 + 114 + 0 + 231 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11140231293 and 11140231302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19306872 + ... + 19307448.

Almost surely, 211140231320 is an apocalyptic number.

11140231320 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 11140231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260925200).

11140231320 is an abundant number, since it is smaller than the sum of its proper divisors (27381619080).

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

11140231320 is a wasteful number, since it uses less digits than its factorization.

11140231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11140231320 its reverse (2313204111), we get a palindrome (13453435431).

The spelling of 11140231320 in words is "eleven billion, one hundred forty million, two hundred thirty-one thousand, three hundred twenty".