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101316 = 2238443
BaseRepresentation
bin11000101111000100
312010222110
4120233010
511220231
62101020
7601245
oct305704
9163873
10101316
116a136
124a770
1337167
1428ccc
1520046
hex18bc4

101316 has 12 divisors (see below), whose sum is σ = 236432. Its totient is φ = 33768.

The previous prime is 101293. The next prime is 101323. The reversal of 101316 is 613101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8443 = 101316 / (1 + 0 + 1 + 3 + 1 + 6).

It is a plaindrome in base 14.

It is an unprimeable number.

101316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4210 + ... + 4233.

2101316 is an apocalyptic number.

It is an amenable number.

101316 is an abundant number, since it is smaller than the sum of its proper divisors (135116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101316 is a wasteful number, since it uses less digits than its factorization.

101316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101316 is about 318.3017436333. The cubic root of 101316 is about 46.6186126659.

Adding to 101316 its reverse (613101), we get a palindrome (714417).

It can be divided in two parts, 10 and 1316, that added together give a triangular number (1326 = T51).

The spelling of 101316 in words is "one hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 8443 16886 25329 33772 50658 101316