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117127085 = 5295315241
BaseRepresentation
bin1101111101100…
…11011110101101
322011101200011012
412332303132231
5214441031320
615342235005
72621364245
oct676633655
9264350135
10117127085
116012a349
1233285a65
131b35c38a
14117acb25
15a4394c5
hex6fb37ad

117127085 has 16 divisors (see below), whose sum is σ = 148152240. Its totient is φ = 88757760.

The previous prime is 117127081. The next prime is 117127097. The reversal of 117127085 is 580721711.

It can be written as a sum of positive squares in 8 ways, for example, as 5148361 + 111978724 = 2269^2 + 10582^2 .

It is not a de Polignac number, because 117127085 - 22 = 117127081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117127081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65 + ... + 15305.

It is an arithmetic number, because the mean of its divisors is an integer number (9259515).

Almost surely, 2117127085 is an apocalyptic number.

It is an amenable number.

117127085 is a deficient number, since it is larger than the sum of its proper divisors (31025155).

117127085 is a wasteful number, since it uses less digits than its factorization.

117127085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328.

The product of its (nonzero) digits is 3920, while the sum is 32.

The square root of 117127085 is about 10822.5267382437. The cubic root of 117127085 is about 489.2743458537.

Adding to 117127085 its reverse (580721711), we get a palindrome (697848796).

The spelling of 117127085 in words is "one hundred seventeen million, one hundred twenty-seven thousand, eighty-five".

Divisors: 1 5 29 53 145 265 1537 7685 15241 76205 441989 807773 2209945 4038865 23425417 117127085