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106313 = 412593
BaseRepresentation
bin11001111101001001
312101211112
4121331021
511400223
62140105
7621644
oct317511
9171745
10106313
1172969
1251635
133950c
142aa5b
1521778
hex19f49

106313 has 4 divisors (see below), whose sum is σ = 108948. Its totient is φ = 103680.

The previous prime is 106307. The next prime is 106319. The reversal of 106313 is 313601.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (106307) and next prime (106319).

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 76729 = 172^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 106313 - 24 = 106297 is a prime.

It is a super-2 number, since 2×1063132 = 22604907938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (27237).

2106313 is an apocalyptic number.

It is an amenable number.

106313 is a deficient number, since it is larger than the sum of its proper divisors (2635).

106313 is an equidigital number, since it uses as much as digits as its factorization.

106313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 106313 is about 326.0567435279. The cubic root of 106313 is about 47.3727712487.

Adding to 106313 its reverse (313601), we get a palindrome (419914).

The spelling of 106313 in words is "one hundred six thousand, three hundred thirteen".

Divisors: 1 41 2593 106313