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11031430400 = 285219831093
BaseRepresentation
bin10100100011000011…
…00100010100000000
31001110210120201122022
422101201210110000
5140043021233100
65022345501012
7540240416444
oct122141442400
931423521568
1011031430400
114750a55a31
12217a4a1768
13106a5b0713
14769132824
154486ebe85
hex291864500

11031430400 has 216 divisors, whose sum is σ = 29114490720. Its totient is φ = 4126187520.

The previous prime is 11031430393. The next prime is 11031430409. The reversal of 11031430400 is 403413011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031430409) 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, 10092254 + ... + 10093346.

Almost surely, 211031430400 is an apocalyptic number.

11031430400 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 11031430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557245360).

11031430400 is an abundant number, since it is smaller than the sum of its proper divisors (18083060320).

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

11031430400 is a wasteful number, since it uses less digits than its factorization.

11031430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11031430400 its reverse (403413011), we get a palindrome (11434843411).

The spelling of 11031430400 in words is "eleven billion, thirty-one million, four hundred thirty thousand, four hundred".