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111441054208 = 291123761797
BaseRepresentation
bin110011111001001100…
…1111000101000000000
3101122122112000010010011
41213302121320220000
53311212402213313
6123110104314304
711023420221451
oct1476231705000
9348575003104
10111441054208
114329762a500
1219721472994
13a67cc20cc3
145572741128
152d7389b93d
hex19f2678a00

111441054208 has 240 divisors, whose sum is σ = 255802893192. Its totient is φ = 48417177600.

The previous prime is 111441054199. The next prime is 111441054209. The reversal of 111441054208 is 802450144111.

It can be written as a sum of positive squares in 4 ways, for example, as 88156735744 + 23284318464 = 296912^2 + 152592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111441054208.

It is not an unprimeable number, because it can be changed into a prime (111441054209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139825266 + ... + 139826062.

Almost surely, 2111441054208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111441054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127901446596).

111441054208 is an abundant number, since it is smaller than the sum of its proper divisors (144361838984).

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

111441054208 is an equidigital number, since it uses as much as digits as its factorization.

111441054208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

Adding to 111441054208 its reverse (802450144111), we get a palindrome (913891198319).

The spelling of 111441054208 in words is "one hundred eleven billion, four hundred forty-one million, fifty-four thousand, two hundred eight".