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16213 = 31523
BaseRepresentation
bin11111101010101
3211020111
43331111
51004323
6203021
765161
oct37525
924214
1016213
11111aa
129471
1374c2
145ca1
154c0d
hex3f55

16213 has 4 divisors (see below), whose sum is σ = 16768. Its totient is φ = 15660.

The previous prime is 16193. The next prime is 16217. The reversal of 16213 is 31261.

Adding to 16213 its reverse (31261), we get a palindrome (47474).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31261 = 43727.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16213 is a prime.

It is a super-2 number, since 2×162132 = 525722738, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 65 + 213 + 1 + 35 .

It is a Duffinian number.

16213 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 4.

It is a zygodrome in base 4 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 16193 and 16202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16217) 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, 231 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (4192).

216213 is an apocalyptic number.

It is an amenable number.

16213 is a deficient number, since it is larger than the sum of its proper divisors (555).

16213 is an equidigital number, since it uses as much as digits as its factorization.

16213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its digits is 36, while the sum is 13.

The square root of 16213 is about 127.3302791955. The cubic root of 16213 is about 25.3097464362.

The spelling of 16213 in words is "sixteen thousand, two hundred thirteen".

Divisors: 1 31 523 16213