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310113 = 3234457
BaseRepresentation
bin1001011101101100001
3120202101200
41023231201
534410423
610351413
72431056
oct1135541
9522350
10310113
111a1aa1
1212b569
13ab1cb
148102d
1561d43
hex4bb61

310113 has 6 divisors (see below), whose sum is σ = 447954. Its totient is φ = 206736.

The previous prime is 310111. The next prime is 310117. The reversal of 310113 is 311013.

310113 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 31329 = 528^2 + 177^2 .

It is not a de Polignac number, because 310113 - 21 = 310111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 34457 = 310113 / (3 + 1 + 0 + 1 + 1 + 3).

It is an Ulam number.

310113 is strictly pandigital in base 7.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 310095 and 310104.

It is not an unprimeable number, because it can be changed into a prime (310111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17220 + ... + 17237.

It is an arithmetic number, because the mean of its divisors is an integer number (74659).

2310113 is an apocalyptic number.

It is an amenable number.

310113 is a deficient number, since it is larger than the sum of its proper divisors (137841).

310113 is a wasteful number, since it uses less digits than its factorization.

310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34463 (or 34460 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 310113 is about 556.8779040328. The cubic root of 310113 is about 67.6872168838.

Adding to 310113 its reverse (311013), we get a palindrome (621126).

Subtracting 310113 from its reverse (311013), we obtain a square (900 = 302).

The spelling of 310113 in words is "three hundred ten thousand, one hundred thirteen".

Divisors: 1 3 9 34457 103371 310113