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123381 = 3213709
BaseRepresentation
bin11110000111110101
320021020200
4132013311
512422011
62351113
71022466
oct360765
9207220
10123381
1184775
125b499
134420b
1432d6d
1526856
hex1e1f5

123381 has 6 divisors (see below), whose sum is σ = 178230. Its totient is φ = 82248.

The previous prime is 123379. The next prime is 123397. The reversal of 123381 is 183321.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 4356 = 345^2 + 66^2 .

It is not a de Polignac number, because 123381 - 21 = 123379 is a prime.

It is a super-2 number, since 2×1233812 = 30445742322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311) 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 in 5 ways as a sum of consecutive naturals, for example, 6846 + ... + 6863.

It is an arithmetic number, because the mean of its divisors is an integer number (29705).

2123381 is an apocalyptic number.

It is an amenable number.

123381 is a deficient number, since it is larger than the sum of its proper divisors (54849).

123381 is a wasteful number, since it uses less digits than its factorization.

123381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13712 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 123381 is about 351.2563166692. The cubic root of 123381 is about 49.7831946005.

The spelling of 123381 in words is "one hundred twenty-three thousand, three hundred eighty-one".

Divisors: 1 3 9 13709 41127 123381