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11323221332040 = 23325367829110337
BaseRepresentation
bin1010010011000110010010…
…0101011101000001001000
31111002111012202121121010100
42210301210211131001020
52441004424130111130
640025452134245400
72246034660160332
oct244614445350110
944074182547110
1011323221332040
113676173278712
12132a623ab6860
13641a10127907
142b209273c452
151498227e7c60
hexa4c6495d048

11323221332040 has 192 divisors, whose sum is σ = 36908763989760. Its totient is φ = 3010643619840.

The previous prime is 11323221331999. The next prime is 11323221332041. The reversal of 11323221332040 is 4023312232311.

11323221332040 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 322 + 1 + 332 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11323221331995 and 11323221332013.

It is not an unprimeable number, because it can be changed into a prime (11323221332041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1095401752 + ... + 1095412088.

It is an arithmetic number, because the mean of its divisors is an integer number (192233145780).

Almost surely, 211323221332040 is an apocalyptic number.

11323221332040 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 11323221332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454381994880).

11323221332040 is an abundant number, since it is smaller than the sum of its proper divisors (25585542657720).

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

11323221332040 is a wasteful number, since it uses less digits than its factorization.

11323221332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 19005 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11323221332040 its reverse (4023312232311), we get a palindrome (15346533564351).

The spelling of 11323221332040 in words is "eleven trillion, three hundred twenty-three billion, two hundred twenty-one million, three hundred thirty-two thousand, forty".