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117362125 = 53312977
BaseRepresentation
bin1101111111011…
…00110111001101
322011211121120101
412333230313031
5220021042000
615351251101
72623363426
oct677546715
9264747511
10117362125
116027a9a1
1233379a91
131b41235a
141183064d
15a483e6a
hex6fecdcd

117362125 has 24 divisors (see below), whose sum is σ = 151500024. Its totient is φ = 90768000.

The previous prime is 117362117. The next prime is 117362137. The reversal of 117362125 is 521263711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 117050761 = 558^2 + 10819^2 .

It is not a de Polignac number, because 117362125 - 23 = 117362117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117362093 and 117362102.

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 23 ways as a sum of consecutive naturals, for example, 119637 + ... + 120613.

It is an arithmetic number, because the mean of its divisors is an integer number (6312501).

Almost surely, 2117362125 is an apocalyptic number.

It is an amenable number.

117362125 is a deficient number, since it is larger than the sum of its proper divisors (34137899).

117362125 is an frugal number, since it uses more digits than its factorization.

117362125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1013 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 117362125 is about 10833.3801281041. The cubic root of 117362125 is about 489.6014042925.

It can be divided in two parts, 11736 and 2125, that added together give a triangular number (13861 = T166).

The spelling of 117362125 in words is "one hundred seventeen million, three hundred sixty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 31 125 155 775 961 977 3875 4805 4885 24025 24425 30287 120125 122125 151435 757175 938897 3785875 4694485 23472425 117362125