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11332332020130 = 235112175910130817
BaseRepresentation
bin1010010011101000001110…
…0111111110000110100010
31111010100201200222111122120
42210322003213332012202
52441132103444121010
640034000152045110
72246506515560232
oct244720347760642
944110650874576
1011332332020130
11367a018aa0500
121330347093796
136428327c1504
142b26b8727cc2
15149ba758ae70
hexa4e839fe1a2

11332332020130 has 384 divisors, whose sum is σ = 32509666586880. Its totient is φ = 2516557824000.

The previous prime is 11332332020129. The next prime is 11332332020173. The reversal of 11332332020130 is 3102023323311.

11332332020130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11332332020130.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367714482 + ... + 367745298.

It is an arithmetic number, because the mean of its divisors is an integer number (84660590070).

Almost surely, 211332332020130 is an apocalyptic number.

11332332020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332332020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254833293440).

11332332020130 is an abundant number, since it is smaller than the sum of its proper divisors (21177334566750).

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

11332332020130 is a wasteful number, since it uses less digits than its factorization.

11332332020130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31026 (or 31015 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11332332020130 its reverse (3102023323311), we get a palindrome (14434355343441).

The spelling of 11332332020130 in words is "eleven trillion, three hundred thirty-two billion, three hundred thirty-two million, twenty thousand, one hundred thirty".