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321113 = 13171453
BaseRepresentation
bin1001110011001011001
3121022111002
41032121121
540233423
610514345
72505122
oct1163131
9538432
10321113
111aa291
121359b5
13b3210
1485049
1565228
hex4e659

321113 has 8 divisors (see below), whose sum is σ = 366408. Its totient is φ = 278784.

The previous prime is 321109. The next prime is 321143. The reversal of 321113 is 311123.

It can be written as a sum of positive squares in 4 ways, for example, as 120409 + 200704 = 347^2 + 448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321113 - 22 = 321109 is a prime.

It is a super-3 number, since 3×3211133 = 99333312590969691, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 321094 and 321103.

It is not an unprimeable number, because it can be changed into a prime (321143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (45801).

2321113 is an apocalyptic number.

It is an amenable number.

321113 is a deficient number, since it is larger than the sum of its proper divisors (45295).

321113 is a wasteful number, since it uses less digits than its factorization.

321113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483.

The product of its digits is 18, while the sum is 11.

The square root of 321113 is about 566.6683333309. The cubic root of 321113 is about 68.4782462402.

Adding to 321113 its reverse (311123), we get a palindrome (632236).

It can be divided in two parts, 321 and 113, that added together give a palindrome (434).

The spelling of 321113 in words is "three hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 13 17 221 1453 18889 24701 321113