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11543122080 = 25355727383
BaseRepresentation
bin10101100000000011…
…00001000010100000
31002210110102100200000
422300001201002200
5142120014401310
65145225100000
7556022630100
oct126001410240
932713370600
1011543122080
114993878516
1222a1927600
13111c5ca369
147b708d200
154785c44c0
hex2b00610a0

11543122080 has 864 divisors, whose sum is σ = 48750496704. Its totient is φ = 2570932224.

The previous prime is 11543122013. The next prime is 11543122081. The reversal of 11543122080 is 8022134511.

11543122080 is a `hidden beast` number, since 1 + 1 + 5 + 431 + 220 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11543122081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139073719 + ... + 139073801.

It is an arithmetic number, because the mean of its divisors is an integer number (56424186).

Almost surely, 211543122080 is an apocalyptic number.

11543122080 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 11543122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24375248352).

11543122080 is an abundant number, since it is smaller than the sum of its proper divisors (37207374624).

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

11543122080 is an equidigital number, since it uses as much as digits as its factorization.

11543122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11543122080 its reverse (8022134511), we get a palindrome (19565256591).

The spelling of 11543122080 in words is "eleven billion, five hundred forty-three million, one hundred twenty-two thousand, eighty".