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117186129 = 3319297877
BaseRepresentation
bin1101111110000…
…01111001010001
322011111200011000
412333001321101
5214444424004
615343412213
72622031344
oct677017121
9264450130
10117186129
116016a745
12332b4069
131b380208
14117c645b
15a44bc39
hex6fc1e51

117186129 has 32 divisors (see below), whose sum is σ = 189072000. Its totient is φ = 71451072.

The previous prime is 117186059. The next prime is 117186131. The reversal of 117186129 is 921681711.

It is not a de Polignac number, because 117186129 - 213 = 117177937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 117186093 and 117186102.

It is not an unprimeable number, because it can be changed into a prime (117186929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10939 + ... + 18815.

It is an arithmetic number, because the mean of its divisors is an integer number (5908500).

Almost surely, 2117186129 is an apocalyptic number.

117186129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

117186129 is a deficient number, since it is larger than the sum of its proper divisors (71885871).

117186129 is a wasteful number, since it uses less digits than its factorization.

117186129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7928 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 117186129 is about 10825.2542233427. The cubic root of 117186129 is about 489.3565467712.

The spelling of 117186129 in words is "one hundred seventeen million, one hundred eighty-six thousand, one hundred twenty-nine".

Divisors: 1 3 9 19 27 29 57 87 171 261 513 551 783 1653 4959 7877 14877 23631 70893 149663 212679 228433 448989 685299 1346967 2055897 4040901 4340227 6167691 13020681 39062043 117186129