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11110111000128 = 2632717859188693
BaseRepresentation
bin1010000110101100011000…
…1110000011011001000000
31110100010010201221001020100
42201223012032003121000
52424012001404001003
635343525312242400
72224451623222320
oct241530616033100
943303121831210
1011110111000128
1135a3854024068
1212b5269840400
136278a99165ba
142a5a373b1280
15143eed3caba3
hexa1ac6383640

11110111000128 has 336 divisors, whose sum is σ = 38580345048960. Its totient is φ = 2984099069952.

The previous prime is 11110111000127. The next prime is 11110111000129. The reversal of 11110111000128 is 82100011101111.

It is an interprime number because it is at equal distance from previous prime (11110111000127) and next prime (11110111000129).

It is a tau number, because it is divible by the number of its divisors (336).

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 11110111000128.

It is not an unprimeable number, because it can be changed into a prime (11110111000127) 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, 58784950 + ... + 58973642.

Almost surely, 211110111000128 is an apocalyptic number.

11110111000128 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 11110111000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290172524480).

11110111000128 is an abundant number, since it is smaller than the sum of its proper divisors (27470234048832).

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

11110111000128 is a wasteful number, since it uses less digits than its factorization.

11110111000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189594 (or 189581 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 11110111000128 its reverse (82100011101111), we get a palindrome (93210122101239).

The spelling of 11110111000128 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, one hundred twenty-eight", and thus it is an aban number.