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11324131120 = 24517294147149
BaseRepresentation
bin10101000101111100…
…01000011100110000
31002020012100110112201
422202332020130300
5141142434143440
65111403232544
7550423345351
oct124276103460
932205313481
1011324131120
1148911a4355
122240518754
1310b6124003
14795d65d28
1546426819a
hex2a2f88730

11324131120 has 320 divisors, whose sum is σ = 30373056000. Its totient is φ = 3903979520.

The previous prime is 11324131109. The next prime is 11324131123. The reversal of 11324131120 is 2113142311.

It is not an unprimeable number, because it can be changed into a prime (11324131123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76000806 + ... + 76000954.

It is an arithmetic number, because the mean of its divisors is an integer number (94915800).

Almost surely, 211324131120 is an apocalyptic number.

11324131120 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 11324131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528000).

11324131120 is an abundant number, since it is smaller than the sum of its proper divisors (19048924880).

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

11324131120 is a wasteful number, since it uses less digits than its factorization.

11324131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11324131120 its reverse (2113142311), we get a palindrome (13437273431).

The spelling of 11324131120 in words is "eleven billion, three hundred twenty-four million, one hundred thirty-one thousand, one hundred twenty".