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110896959060 = 2234531271233
BaseRepresentation
bin110011101000111111…
…0010100111001010100
3101121020121012012220000
41213101332110321110
53304104110142220
6122540110411300
711004062412306
oct1472176247124
9347217165800
10110896959060
1143038495798
12195ab200b30
13a5c429a404
14552038b976
152d40c23390
hex19d1f94e54

110896959060 has 180 divisors, whose sum is σ = 359477109684. Its totient is φ = 28618168320.

The previous prime is 110896958951. The next prime is 110896959067. The reversal of 110896959060 is 60959698011.

It can be written as a sum of positive squares in 2 ways, for example, as 60829316496 + 50067642564 = 246636^2 + 223758^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 110896958988 and 110896959006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110896959067) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1521204 + ... + 1592436.

Almost surely, 2110896959060 is an apocalyptic number.

110896959060 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 110896959060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179738554842).

110896959060 is an abundant number, since it is smaller than the sum of its proper divisors (248580150624).

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

110896959060 is a wasteful number, since it uses less digits than its factorization.

110896959060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71316 (or 71274 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 110896959060 in words is "one hundred ten billion, eight hundred ninety-six million, nine hundred fifty-nine thousand, sixty".