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1100000001168 = 24354347139991

1100000001168 has 240 divisors, whose sum is σ = 3336262465536. Its totient is φ = 350517041280.

The previous prime is 1100000001127. The next prime is 1100000001169. The reversal of 1100000001168 is 8611000000011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1100000001168.

It is not an unprimeable number, because it can be changed into a prime (1100000001169) 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, 7787653 + ... + 7927643.

Almost surely, 21100000001168 is an apocalyptic number.

1100000001168 is a gapful number since it is divisible by the number (18) 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 1100000001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668131232768).

1100000001168 is an abundant number, since it is smaller than the sum of its proper divisors (2236262464368).

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

1100000001168 is a wasteful number, since it uses less digits than its factorization.

1100000001168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140104 (or 140086 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1100000001168 its reverse (8611000000011), we get a palindrome (9711000001179).

The spelling of 1100000001168 in words is "one trillion, one hundred billion, one thousand, one hundred sixty-eight".