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1121030400 = 28352719439
BaseRepresentation
bin100001011010001…
…1001000100000000
32220010102020121110
41002310121010000
54243440433100
6303123323320
736531413130
oct10264310400
92803366543
101121030400
11525879806
12273520540
1314b3350c9
14a8c54ac0
156863c250
hex42d19100

1121030400 has 432 divisors, whose sum is σ = 4460825600. Its totient is φ = 242196480.

The previous prime is 1121030377. The next prime is 1121030429. The reversal of 1121030400 is 40301211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553381 + ... + 2553819.

Almost surely, 21121030400 is an apocalyptic number.

1121030400 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 1121030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230412800).

1121030400 is an abundant number, since it is smaller than the sum of its proper divisors (3339795200).

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

1121030400 is a wasteful number, since it uses less digits than its factorization.

1121030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1121030400 is about 33481.7920667338. The cubic root of 1121030400 is about 1038.8171957266.

Adding to 1121030400 its reverse (40301211), we get a palindrome (1161331611).

The spelling of 1121030400 in words is "one billion, one hundred twenty-one million, thirty thousand, four hundred".