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11126324000 = 2553111913309
BaseRepresentation
bin10100101110010111…
…00011101100100000
31001201102010211012002
422113023203230200
5140241314332000
65040015423132
7542502123251
oct122713435440
931642124162
1011126324000
11479a5799a0
1221a6224aa8
131084156b8c
14777994b28
15451be38d5
hex2972e3b20

11126324000 has 192 divisors, whose sum is σ = 31394563200. Its totient is φ = 3832704000.

The previous prime is 11126323951. The next prime is 11126324021. The reversal of 11126324000 is 42362111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829346 + ... + 842654.

It is an arithmetic number, because the mean of its divisors is an integer number (163513350).

Almost surely, 211126324000 is an apocalyptic number.

11126324000 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 11126324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697281600).

11126324000 is an abundant number, since it is smaller than the sum of its proper divisors (20268239200).

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

11126324000 is a wasteful number, since it uses less digits than its factorization.

11126324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11126324000 its reverse (42362111), we get a palindrome (11168686111).

The spelling of 11126324000 in words is "eleven billion, one hundred twenty-six million, three hundred twenty-four thousand".