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11111000000000 = 295941271
BaseRepresentation
bin1010000110101111101100…
…1101010100011000000000
31110100012102200201220210112
42201223323031110120000
52424020312000000000
635344153430450452
72224512636464555
oct241537315243000
943305380656715
1011111000000000
1135a416a9228aa
1212b5477503a28
136279bbb5b124
142a5abd4a6a2c
15144051483235
hexa1afb354600

11111000000000 has 400 divisors, whose sum is σ = 28532106453312. Its totient is φ = 4320000000000.

The previous prime is 11110999999969. The next prime is 11111000000003. The reversal of 11111000000000 is 11111.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111000000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40999999865 + ... + 41000000135.

Almost surely, 211111000000000 is an apocalyptic number.

11111000000000 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 11111000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266053226656).

11111000000000 is an abundant number, since it is smaller than the sum of its proper divisors (17421106453312).

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

11111000000000 is an frugal number, since it uses more digits than its factorization.

11111000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11111000000000 its reverse (11111), we get a palindrome (11111000011111).

11111000000000 divided by its reverse (11111) gives a 9-th power (1000000000 = 109).

The spelling of 11111000000000 in words is "eleven trillion, one hundred eleven billion", and thus it is an aban number.