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111109077 = 36173881
BaseRepresentation
bin1101001111101…
…10001111010101
321202001221000000
412213312033111
5211420442302
615005241513
72516261112
oct647661725
9252057000
10111109077
1157799992
1231263299
131a033121
1410a83909
159b4b31c
hex69f63d5

111109077 has 28 divisors (see below), whose sum is σ = 167740524. Its totient is φ = 73560960.

The previous prime is 111109051. The next prime is 111109111. The reversal of 111109077 is 770901111.

It can be written as a sum of positive squares in 2 ways, for example, as 62583921 + 48525156 = 7911^2 + 6966^2 .

It is not a de Polignac number, because 111109077 - 218 = 110846933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 111109077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111109007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125677 + ... + 126557.

It is an arithmetic number, because the mean of its divisors is an integer number (5990733).

Almost surely, 2111109077 is an apocalyptic number.

It is an amenable number.

111109077 is a deficient number, since it is larger than the sum of its proper divisors (56631447).

111109077 is an frugal number, since it uses more digits than its factorization.

111109077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 27.

The square root of 111109077 is about 10540.8290470911. The cubic root of 111109077 is about 480.7469230554.

The spelling of 111109077 in words is "one hundred eleven million, one hundred nine thousand, seventy-seven".

Divisors: 1 3 9 27 81 173 243 519 729 881 1557 2643 4671 7929 14013 23787 42039 71361 126117 152413 214083 457239 642249 1371717 4115151 12345453 37036359 111109077