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11131132020000 = 25354367505501
BaseRepresentation
bin1010000111111010101100…
…1010111000010100100000
31110102010101201200111102220
42201332223022320110200
52424333024244120000
635401323233511040
72226124554024456
oct241765312702440
943363351614386
1011131132020000
113601760923463
1212b9355712480
136298799aaab5
142a6a6d1169d6
1514482dacb1a0
hexa1fab2b8520

11131132020000 has 240 divisors, whose sum is σ = 36611900341632. Its totient is φ = 2960208000000.

The previous prime is 11131132019993. The next prime is 11131132020017. The reversal of 11131132020000 is 2023113111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21767250 + ... + 22272750.

Almost surely, 211131132020000 is an apocalyptic number.

11131132020000 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 11131132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18305950170816).

11131132020000 is an abundant number, since it is smaller than the sum of its proper divisors (25480768321632).

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

11131132020000 is an equidigital number, since it uses as much as digits as its factorization.

11131132020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505901 (or 505878 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131132020000 its reverse (2023113111), we get a palindrome (11133155133111).

The spelling of 11131132020000 in words is "eleven trillion, one hundred thirty-one billion, one hundred thirty-two million, twenty thousand".