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11114430000 = 2435417193137
BaseRepresentation
bin10100101100111100…
…01011111000110000
31001200120202112200120
422112132023320300
5140230243230000
65034512450240
7542266045002
oct122636137060
931616675616
1011114430000
114793895843
1221a2249980
1310818511cb
1477617a372
15450b446a0
hex29678be30

11114430000 has 800 divisors, whose sum is σ = 42394429440. Its totient is φ = 2488320000.

The previous prime is 11114429941. The next prime is 11114430011. The reversal of 11114430000 is 3441111.

11114430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 300389982 + ... + 300390018.

Almost surely, 211114430000 is an apocalyptic number.

11114430000 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 11114430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197214720).

11114430000 is an abundant number, since it is smaller than the sum of its proper divisors (31279999440).

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

11114430000 is a wasteful number, since it uses less digits than its factorization.

11114430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11114430000 its reverse (3441111), we get a palindrome (11117871111).

The spelling of 11114430000 in words is "eleven billion, one hundred fourteen million, four hundred thirty thousand".