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1112132320 = 2551319107263
BaseRepresentation
bin100001001001001…
…1100101011100000
32212111200011201221
41002102130223200
54234201213240
6302204504424
736362653165
oct10222345340
92774604657
101112132320
11520851522
1227054b114
1314953ac80
14a79ba06c
1567980a4a
hex4249cae0

1112132320 has 192 divisors, whose sum is σ = 3017710080. Its totient is φ = 383920128.

The previous prime is 1112132251. The next prime is 1112132321. The reversal of 1112132320 is 232312111.

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 = 1112132294 and 1112132303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112132321) 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, 4228509 + ... + 4228771.

It is an arithmetic number, because the mean of its divisors is an integer number (15717240).

Almost surely, 21112132320 is an apocalyptic number.

1112132320 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 1112132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

1112132320 is an abundant number, since it is smaller than the sum of its proper divisors (1905577760).

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

1112132320 is a wasteful number, since it uses less digits than its factorization.

1112132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

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

The square root of 1112132320 is about 33348.6479486051. The cubic root of 1112132320 is about 1036.0613848334.

Adding to 1112132320 its reverse (232312111), we get a palindrome (1344444431).

The spelling of 1112132320 in words is "one billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty".