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1121024320 = 265132191091
BaseRepresentation
bin100001011010001…
…0111100101000000
32220010101221021021
41002310113211000
54243440234240
6303123235224
736531356323
oct10264274500
92803357237
101121024320
11525875189
12273518b14
1314b332400
14a8c527ba
156863a54a
hex42d17940

1121024320 has 168 divisors, whose sum is σ = 3045500640. Its totient is φ = 391772160.

The previous prime is 1121024287. The next prime is 1121024321. The reversal of 1121024320 is 234201211.

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 = 1121024294 and 1121024303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121024321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026975 + ... + 1028065.

It is an arithmetic number, because the mean of its divisors is an integer number (18127980).

Almost surely, 21121024320 is an apocalyptic number.

1121024320 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 1121024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522750320).

1121024320 is an abundant number, since it is smaller than the sum of its proper divisors (1924476320).

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

1121024320 is a wasteful number, since it uses less digits than its factorization.

1121024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1121024320 is about 33481.7012709928. The cubic root of 1121024320 is about 1038.8153176866.

Adding to 1121024320 its reverse (234201211), we get a palindrome (1355225531).

The spelling of 1121024320 in words is "one billion, one hundred twenty-one million, twenty-four thousand, three hundred twenty".