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311324130 = 232513266089
BaseRepresentation
bin10010100011100…
…110110111100010
3210200210220102100
4102203212313202
51114144333010
650520431230
710500132345
oct2243466742
9720726370
10311324130
1114a809477
1288318516
134c664280
142d4c045c
151c4e92c0
hex128e6de2

311324130 has 48 divisors (see below), whose sum is σ = 871710840. Its totient is φ = 76633344.

The previous prime is 311324129. The next prime is 311324131. The reversal of 311324130 is 31423113.

311324130 is a `hidden beast` number, since 311 + 324 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (311324129) and next prime (311324131).

It can be written as a sum of positive squares in 4 ways, for example, as 220255281 + 91068849 = 14841^2 + 9543^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311324131) 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, 131875 + ... + 134214.

Almost surely, 2311324130 is an apocalyptic number.

311324130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311324130 is an abundant number, since it is smaller than the sum of its proper divisors (560386710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311324130 is a wasteful number, since it uses less digits than its factorization.

311324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266115 (or 266112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 311324130 is about 17644.3795583750. The cubic root of 311324130 is about 677.7521870856.

Adding to 311324130 its reverse (31423113), we get a palindrome (342747243).

The spelling of 311324130 in words is "three hundred eleven million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 266089 532178 798267 1330445 1596534 2394801 2660890 3459157 3991335 4789602 6918314 7982670 10377471 11974005 17295785 20754942 23948010 31132413 34591570 51887355 62264826 103774710 155662065 311324130