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311424113 = 71121328283
BaseRepresentation
bin10010100011111…
…111010001110001
3210200222222120102
4102203333101301
51114211032423
650522522145
710501030010
oct2243772161
9720888512
10311424113
1114a877600
1288366355
134c69a930
142d508a77
151c518c28
hex128ff471

311424113 has 24 divisors (see below), whose sum is σ = 421318464. Its totient is φ = 223993440.

The previous prime is 311424097. The next prime is 311424121.

311424113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311424113 - 24 = 311424097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311424613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3131 + ... + 25152.

It is an arithmetic number, because the mean of its divisors is an integer number (17554936).

Almost surely, 2311424113 is an apocalyptic number.

It is an amenable number.

311424113 is a deficient number, since it is larger than the sum of its proper divisors (109894351).

311424113 is a wasteful number, since it uses less digits than its factorization.

311424113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28325 (or 28314 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 311424113 is about 17647.2126127613. The cubic root of 311424113 is about 677.8247336028.

It can be divided in two parts, 311 and 424113, that added together give a palindrome (424424).

The spelling of 311424113 in words is "three hundred eleven million, four hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 28283 197981 311113 367679 2177791 2573753 3422243 4044469 23955701 28311283 44489159 311424113