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231314120 = 2355782853
BaseRepresentation
bin11011100100110…
…01001011001000
3121010020222022122
431302121023020
5433204022440
634541510412
75506065122
oct1562311310
9533228278
10231314120
111096307a4
1265572408
1338bcc47b
1422a14212
15154927b5
hexdc992c8

231314120 has 16 divisors (see below), whose sum is σ = 520456860. Its totient is φ = 92525632.

The previous prime is 231314099. The next prime is 231314123. The reversal of 231314120 is 21413132.

It can be written as a sum of positive squares in 2 ways, for example, as 219217636 + 12096484 = 14806^2 + 3478^2 .

It is a super-3 number, since 3×2313141203 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (231314123) 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 3 ways as a sum of consecutive naturals, for example, 2891387 + ... + 2891466.

Almost surely, 2231314120 is an apocalyptic number.

231314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231314120 is an abundant number, since it is smaller than the sum of its proper divisors (289142740).

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

231314120 is a wasteful number, since it uses less digits than its factorization.

231314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782864 (or 5782860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 231314120 is about 15209.0144322372. The cubic root of 231314120 is about 613.8572385042.

Adding to 231314120 its reverse (21413132), we get a palindrome (252727252).

The spelling of 231314120 in words is "two hundred thirty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5782853 11565706 23131412 28914265 46262824 57828530 115657060 231314120