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11025234400 = 2552172431109
BaseRepresentation
bin10100100010010011…
…11011100111100000
31001110100220221022211
422101021323213200
5140034430000100
65022005011504
7540133642345
oct122111734740
931410827284
1011025234400
114748503874
1221783b3b94
13106922144b
1476839c7cc
15447dc61ba
hex29127b9e0

11025234400 has 216 divisors, whose sum is σ = 29283047640. Its totient is φ = 4050493440.

The previous prime is 11025234377. The next prime is 11025234403. The reversal of 11025234400 is 443252011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11025234403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9941046 + ... + 9942154.

It is an arithmetic number, because the mean of its divisors is an integer number (135569665).

Almost surely, 211025234400 is an apocalyptic number.

11025234400 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 11025234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641523820).

11025234400 is an abundant number, since it is smaller than the sum of its proper divisors (18257813240).

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

11025234400 is a wasteful number, since it uses less digits than its factorization.

11025234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 11025234400 its reverse (443252011), we get a palindrome (11468486411).

The spelling of 11025234400 in words is "eleven billion, twenty-five million, two hundred thirty-four thousand, four hundred".