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313321311 = 3311604493
BaseRepresentation
bin10010101011001…
…110011101011111
3210211120101001000
4102223032131133
51120202240221
651031321343
710523121132
oct2253163537
9724511030
10313321311
11150952a36
1288b20253
134cbb3334
142d880219
151c790e26
hex12ace75f

313321311 has 8 divisors (see below), whose sum is σ = 464179760. Its totient is φ = 208880856.

The previous prime is 313321297. The next prime is 313321313. The reversal of 313321311 is 113123313.

It is a happy number.

313321311 is a `hidden beast` number, since 31 + 3 + 321 + 311 = 666.

It is a de Polignac number, because none of the positive numbers 2k-313321311 is a prime.

It is a super-3 number, since 3×3133213113 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321313) 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, 5802220 + ... + 5802273.

It is an arithmetic number, because the mean of its divisors is an integer number (58022470).

Almost surely, 2313321311 is an apocalyptic number.

313321311 is a deficient number, since it is larger than the sum of its proper divisors (150858449).

313321311 is a wasteful number, since it uses less digits than its factorization.

313321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604502 (or 11604496 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 313321311 is about 17700.8844694269. The cubic root of 313321311 is about 679.1983856983.

Adding to 313321311 its reverse (113123313), we get a palindrome (426444624).

The spelling of 313321311 in words is "three hundred thirteen million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 11604493 34813479 104440437 313321311