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6123 = 313157
BaseRepresentation
bin1011111101011
322101210
41133223
5143443
644203
723565
oct13753
98353
106123
114667
123663
132a30
142335
151c33
hex17eb

6123 has 8 divisors (see below), whose sum is σ = 8848. Its totient is φ = 3744.

The previous prime is 6121. The next prime is 6131. The reversal of 6123 is 3216.

6123 is nontrivially palindromic in base 12.

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

It is not a de Polignac number, because 6123 - 21 = 6121 is a prime.

It is a super-2 number, since 2×61232 = 74982258, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

6123 is a lucky number.

It is a plaindrome in base 11 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6099 and 6108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6123.

It is not an unprimeable number, because it can be changed into a prime (6121) 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, 40 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (1106).

26123 is an apocalyptic number.

6123 is a deficient number, since it is larger than the sum of its proper divisors (2725).

6123 is a wasteful number, since it uses less digits than its factorization.

6123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its digits is 36, while the sum is 12.

The square root of 6123 is about 78.2496006380. The cubic root of 6123 is about 18.2945368744.

Adding to 6123 its reverse (3216), we get a palindrome (9339).

The spelling of 6123 in words is "six thousand, one hundred twenty-three".

Divisors: 1 3 13 39 157 471 2041 6123