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117117825 = 35211141961
BaseRepresentation
bin1101111101100…
…01001110000001
322011101012110020
412332301032001
5214440232300
615342124053
72621325246
oct676611601
9264335406
10117117825
11601233a0
1233280629
131b3580b6
14117a95cd
15a4368a0
hex6fb1381

117117825 has 24 divisors (see below), whose sum is σ = 211239456. Its totient is φ = 56784000.

The previous prime is 117117797. The next prime is 117117827. The reversal of 117117825 is 528711711.

It is not a de Polignac number, because 117117825 - 210 = 117116801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (117117827) 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, 70156 + ... + 71805.

It is an arithmetic number, because the mean of its divisors is an integer number (8801644).

Almost surely, 2117117825 is an apocalyptic number.

117117825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117117825 is a deficient number, since it is larger than the sum of its proper divisors (94121631).

117117825 is a wasteful number, since it uses less digits than its factorization.

117117825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141985 (or 141980 counting only the distinct ones).

The product of its digits is 3920, while the sum is 33.

The square root of 117117825 is about 10822.0989184169. The cubic root of 117117825 is about 489.2614515977.

The spelling of 117117825 in words is "one hundred seventeen million, one hundred seventeen thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 141961 425883 709805 1561571 2129415 3549025 4684713 7807855 10647075 23423565 39039275 117117825