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311340105 = 3551511697
BaseRepresentation
bin10010100011101…
…010110001001001
3210200211201100000
4102203222301021
51114200340410
650521033213
710500230046
oct2243526111
9720751300
10311340105
1114a81a47a
1288325809
134c66b61b
142d4c61cd
151c4eddc0
hex128eac49

311340105 has 48 divisors (see below), whose sum is σ = 563681664. Its totient is φ = 164851200.

The previous prime is 311340047. The next prime is 311340181. The reversal of 311340105 is 501043113.

311340105 is a `hidden beast` number, since 311 + 340 + 10 + 5 = 666.

It is not a de Polignac number, because 311340105 - 28 = 311339849 is a prime.

It is a super-2 number, since 2×3113401052 = 193865321962822050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182617 + ... + 184313.

It is an arithmetic number, because the mean of its divisors is an integer number (11743368).

Almost surely, 2311340105 is an apocalyptic number.

It is an amenable number.

311340105 is a deficient number, since it is larger than the sum of its proper divisors (252341559).

311340105 is a wasteful number, since it uses less digits than its factorization.

311340105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 311340105 is about 17644.8322462981. The cubic root of 311340105 is about 677.7637794047.

Adding to 311340105 its reverse (501043113), we get a palindrome (812383218).

The spelling of 311340105 in words is "three hundred eleven million, three hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 151 243 405 453 755 1215 1359 1697 2265 4077 5091 6795 8485 12231 15273 20385 25455 36693 45819 61155 76365 137457 183465 229095 256247 412371 687285 768741 1281235 2061855 2306223 3843705 6918669 11531115 20756007 34593345 62268021 103780035 311340105