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11111324240 = 245160186753
BaseRepresentation
bin10100101100100100…
…10101101001010000
31001200100220202101102
422112102111221100
5140223444333430
65034322123532
7542230461212
oct122622255120
931610822342
1011111324240
1147920643a5
1221a11b05a8
131081004693
147759ac5b2
1545072e345
hex296495a50

11111324240 has 40 divisors (see below), whose sum is σ = 25850262888. Its totient is φ = 4441702400.

The previous prime is 11111324221. The next prime is 11111324243. The reversal of 11111324240 is 4242311111.

It can be written as a sum of positive squares in 4 ways, for example, as 4484713024 + 6626611216 = 66968^2 + 81404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (11111324243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84704 + ... + 171456.

Almost surely, 211111324240 is an apocalyptic number.

11111324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111324240 is an abundant number, since it is smaller than the sum of its proper divisors (14738938648).

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

11111324240 is a wasteful number, since it uses less digits than its factorization.

11111324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88367 (or 88361 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11111324240 its reverse (4242311111), we get a palindrome (15353635351).

The spelling of 11111324240 in words is "eleven billion, one hundred eleven million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1601 3202 6404 8005 12808 16010 25616 32020 64040 86753 128080 173506 347012 433765 694024 867530 1388048 1735060 3470120 6940240 138891553 277783106 555566212 694457765 1111132424 1388915530 2222264848 2777831060 5555662120 11111324240