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11110111000020 = 223253171103272263
BaseRepresentation
bin1010000110101100011000…
…1110000011010111010100
31110100010010201221001002100
42201223012032003113110
52424012001404000040
635343525312242100
72224451623222104
oct241530616032724
943303121831070
1011110111000020
1135a3854023a7a
1212b5269840330
136278a9916536
142a5a373b1204
15143eed3cab30
hexa1ac63835d4

11110111000020 has 288 divisors, whose sum is σ = 35620390600704. Its totient is φ = 2799288979200.

The previous prime is 11110110999991. The next prime is 11110111000039. The reversal of 11110111000020 is 2000011101111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110110999966 and 11110111000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40670409 + ... + 40942671.

It is an arithmetic number, because the mean of its divisors is an integer number (123681911808).

Almost surely, 211110111000020 is an apocalyptic number.

11110111000020 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 11110111000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17810195300352).

11110111000020 is an abundant number, since it is smaller than the sum of its proper divisors (24510279600684).

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

11110111000020 is a wasteful number, since it uses less digits than its factorization.

11110111000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272483 (or 272478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11110111000020 its reverse (2000011101111), we get a palindrome (13110122101131).

The spelling of 11110111000020 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, twenty", and thus it is an aban number.