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1105023381440 = 265112123723071
BaseRepresentation
bin10000000101001000100…
…001101010111111000000
310220122020222102222121012
4100011020201222333000
5121101041441201230
62203350222020052
7142556336523326
oct20051041527700
93818228388535
101105023381440
11396701988900
1215a1b2117628
1380284732424
143b6aa6d3d16
151db269c5395
hex1014886afc0

1105023381440 has 168 divisors, whose sum is σ = 2894759581056. Its totient is φ = 401484441600.

The previous prime is 1105023381433. The next prime is 1105023381463. The reversal of 1105023381440 is 441833205011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1105023381397 and 1105023381406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47885105 + ... + 47908175.

It is an arithmetic number, because the mean of its divisors is an integer number (17230711792).

Almost surely, 21105023381440 is an apocalyptic number.

1105023381440 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 1105023381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447379790528).

1105023381440 is an abundant number, since it is smaller than the sum of its proper divisors (1789736199616).

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

1105023381440 is a wasteful number, since it uses less digits than its factorization.

1105023381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24347 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 1105023381440 its reverse (441833205011), we get a palindrome (1546856586451).

The spelling of 1105023381440 in words is "one trillion, one hundred five billion, twenty-three million, three hundred eighty-one thousand, four hundred forty".