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111443501000000 = 26561321016529
BaseRepresentation
bin11001010101101101110110…
…010010100010010101000000
3112121120220011012100100020002
4121111231312102202111000
5104101342242224000000
61033004234303535132
732321345562543521
oct3125556622422500
9477526135310202
10111443501000000
1132566a17a96654
12105ba5b6bba4a8
134a25100387400
141d73c73a96848
15cd3d7b8b28d5
hex655b764a2540

111443501000000 has 588 divisors, whose sum is σ = 302337935884260. Its totient is φ = 40734720000000.

The previous prime is 111443500999927. The next prime is 111443501000009. The reversal of 111443501000000 is 105344111.

It is a happy number.

It can be written as a sum of positive squares in 42 ways, for example, as 39191329024 + 111404309670976 = 197968^2 + 10554824^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111443501000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17068996736 + ... + 17069003264.

Almost surely, 2111443501000000 is an apocalyptic number.

111443501000000 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 111443501000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151168967942130).

111443501000000 is an abundant number, since it is smaller than the sum of its proper divisors (190894434884260).

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

111443501000000 is an frugal number, since it uses more digits than its factorization.

111443501000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 111443501000000 its reverse (105344111), we get a palindrome (111443606344111).

The spelling of 111443501000000 in words is "one hundred eleven trillion, four hundred forty-three billion, five hundred one million", and thus it is an aban number.