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123009 = 3131313
BaseRepresentation
bin11110000010000001
320020201220
4132002001
512414014
62345253
71021425
oct360201
9206656
10123009
1184467
125b229
1343cb3
1432b85
15266a9
hex1e081

123009 has 8 divisors (see below), whose sum is σ = 165792. Its totient is φ = 81120.

The previous prime is 123007. The next prime is 123017. The reversal of 123009 is 900321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123009 - 21 = 123007 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

123009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (123001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (20724).

2123009 is an apocalyptic number.

It is an amenable number.

123009 is a deficient number, since it is larger than the sum of its proper divisors (42783).

123009 is a wasteful number, since it uses less digits than its factorization.

123009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 123009 is about 350.7263890841. The cubic root of 123009 is about 49.7331112762.

The spelling of 123009 in words is "one hundred twenty-three thousand, nine".

Divisors: 1 3 131 313 393 939 41003 123009