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122109 = 31331101
BaseRepresentation
bin11101110011111101
320012111120
4131303331
512401414
62341153
71016001
oct356375
9205446
10122109
1183819
125a7b9
1343770
1432701
15262a9
hex1dcfd

122109 has 16 divisors (see below), whose sum is σ = 182784. Its totient is φ = 72000.

The previous prime is 122099. The next prime is 122117. The reversal of 122109 is 901221.

It is a happy number.

It is not a de Polignac number, because 122109 - 28 = 121853 is a prime.

It is a Curzon number.

122109 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2122109 is an apocalyptic number.

It is an amenable number.

122109 is a deficient number, since it is larger than the sum of its proper divisors (60675).

122109 is a wasteful number, since it uses less digits than its factorization.

122109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 122109 is about 349.4409821415. The cubic root of 122109 is about 49.6115228605.

It can be divided in two parts, 122 and 109, that added together give a triangular number (231 = T21).

The spelling of 122109 in words is "one hundred twenty-two thousand, one hundred nine".

Divisors: 1 3 13 31 39 93 101 303 403 1209 1313 3131 3939 9393 40703 122109