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311213 = 7231933
BaseRepresentation
bin1001011111110101101
3120210220102
41023332231
534424323
610400445
72434220
oct1137655
9523812
10311213
111a2901
12130125
13ab866
14815b7
1562328
hex4bfad

311213 has 8 divisors (see below), whose sum is σ = 371328. Its totient is φ = 255024.

The previous prime is 311203. The next prime is 311237. The reversal of 311213 is 312113.

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

It is not a de Polignac number, because 311213 - 24 = 311197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311194 and 311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (46416).

2311213 is an apocalyptic number.

It is an amenable number.

311213 is a deficient number, since it is larger than the sum of its proper divisors (60115).

311213 is a wasteful number, since it uses less digits than its factorization.

311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963.

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

The square root of 311213 is about 557.8646789321. The cubic root of 311213 is about 67.7671534204.

Adding to 311213 its reverse (312113), we get a palindrome (623326).

Subtracting 311213 from its reverse (312113), we obtain a square (900 = 302).

It can be divided in two parts, 3112 and 13, that added together give a 5-th power (3125 = 55).

The spelling of 311213 in words is "three hundred eleven thousand, two hundred thirteen".

Divisors: 1 7 23 161 1933 13531 44459 311213