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123114 = 2317271
BaseRepresentation
bin11110000011101010
320020212210
4132003222
512414424
62345550
71021635
oct360352
9206783
10123114
1184552
125b2b6
1344064
1432c1c
1526729
hex1e0ea

123114 has 24 divisors (see below), whose sum is σ = 265248. Its totient is φ = 38080.

The previous prime is 123113. The next prime is 123121. The reversal of 123114 is 411321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 123114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1699 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (11052).

2123114 is an apocalyptic number.

123114 is an abundant number, since it is smaller than the sum of its proper divisors (142134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123114 is a wasteful number, since it uses less digits than its factorization.

123114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 123114 is about 350.8760464894. The cubic root of 123114 is about 49.7472579147.

Adding to 123114 its reverse (411321), we get a palindrome (534435).

The spelling of 123114 in words is "one hundred twenty-three thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 17 34 51 71 102 142 213 289 426 578 867 1207 1734 2414 3621 7242 20519 41038 61557 123114