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111040130000 = 245429616277
BaseRepresentation
bin110011101101010000…
…0011110101111010000
3101121121120121001111102
41213122200132233100
53304402233130000
6123002223203532
711010451350302
oct1473240365720
9347546531442
10111040130000
1143101293188
121962b1465a8
13a617b47b47
1455353b9972
152d4d5a43d5
hex19da81ebd0

111040130000 has 200 divisors, whose sum is σ = 282713783880. Its totient is φ = 42174720000.

The previous prime is 111040129919. The next prime is 111040130017. The reversal of 111040130000 is 31040111.

It can be written as a sum of positive squares in 20 ways, for example, as 109000343104 + 2039786896 = 330152^2 + 45164^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17686862 + ... + 17693138.

Almost surely, 2111040130000 is an apocalyptic number.

111040130000 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 111040130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141356891940).

111040130000 is an abundant number, since it is smaller than the sum of its proper divisors (171673653880).

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

111040130000 is an equidigital number, since it uses as much as digits as its factorization.

111040130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 111040130000 its reverse (31040111), we get a palindrome (111071170111).

The spelling of 111040130000 in words is "one hundred eleven billion, forty million, one hundred thirty thousand".