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11324001312 = 2533132334327
BaseRepresentation
bin10101000101111011…
…01000110000100000
31002020012002212111000
422202331220300200
5141142421020222
65111400352000
7550422265041
oct124275506040
932205085430
1011324001312
114891115878
122240475600
1310b60a9bc0
14795d308c8
1546423e9ac
hex2a2f68c20

11324001312 has 192 divisors, whose sum is σ = 35729890560. Its totient is φ = 3468552192.

The previous prime is 11324001301. The next prime is 11324001319. The reversal of 11324001312 is 21310042311.

11324001312 is a `hidden beast` number, since 1 + 132 + 400 + 131 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11324001319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2614893 + ... + 2619219.

It is an arithmetic number, because the mean of its divisors is an integer number (186093180).

Almost surely, 211324001312 is an apocalyptic number.

11324001312 is a gapful number since it is divisible by the number (12) 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 11324001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864945280).

11324001312 is an abundant number, since it is smaller than the sum of its proper divisors (24405889248).

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

11324001312 is a wasteful number, since it uses less digits than its factorization.

11324001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4578 counting only the distinct ones).

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

Adding to 11324001312 its reverse (21310042311), we get a palindrome (32634043623).

The spelling of 11324001312 in words is "eleven billion, three hundred twenty-four million, one thousand, three hundred twelve".