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123213 = 367613
BaseRepresentation
bin11110000101001101
320021000110
4132011031
512420323
62350233
71022136
oct360515
9207013
10123213
1184632
125b379
134410c
1432c8d
1526793
hex1e14d

123213 has 8 divisors (see below), whose sum is σ = 167008. Its totient is φ = 80784.

The previous prime is 123209. The next prime is 123217. The reversal of 123213 is 312321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123209) and next prime (123217).

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

It is not a de Polignac number, because 123213 - 22 = 123209 is a prime.

It is a Duffinian number.

123213 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123217) 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, 106 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (20876).

2123213 is an apocalyptic number.

It is an amenable number.

123213 is a deficient number, since it is larger than the sum of its proper divisors (43795).

123213 is an equidigital number, since it uses as much as digits as its factorization.

123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

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

The square root of 123213 is about 351.0170936009. The cubic root of 123213 is about 49.7605888086.

Subtracting from 123213 its sum of digits (12), we obtain a square (123201 = 3512).

Adding to 123213 its reverse (312321), we get a palindrome (435534).

It can be divided in two parts, 12321 and 3, that multiplied together give a palindrome (36963).

The spelling of 123213 in words is "one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 67 201 613 1839 41071 123213