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123311 is a prime number
BaseRepresentation
bin11110000110101111
320021011002
4132012233
512421221
62350515
71022336
oct360657
9207132
10123311
1184711
125b43b
1344186
1432d1d
152680b
hex1e1af

123311 has 2 divisors, whose sum is σ = 123312. Its totient is φ = 123310.

The previous prime is 123307. The next prime is 123323. The reversal of 123311 is 113321.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 123311 - 22 = 123307 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123292 and 123301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61655 + 61656.

It is an arithmetic number, because the mean of its divisors is an integer number (61656).

2123311 is an apocalyptic number.

123311 is a deficient number, since it is larger than the sum of its proper divisors (1).

123311 is an equidigital number, since it uses as much as digits as its factorization.

123311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 123311 is about 351.1566601960. The cubic root of 123311 is about 49.7737780159.

Adding to 123311 its reverse (113321), we get a palindrome (236632).

It can be divided in two parts, 123 and 311, that added together give a palindrome (434).

The spelling of 123311 in words is "one hundred twenty-three thousand, three hundred eleven", and thus it is an iban number.