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243120314125 = 5313149612501
BaseRepresentation
bin1110001001101100011…
…0011001011100001101
3212020112110202121021201
43202123012121130031
512440402300023000
6303404332025501
723364514400353
oct3423306313415
9766473677251
10243120314125
119411a096447
123b150602291
1319c0698cb50
14baa4c537d3
1564cdd6896a
hex389b19970d

243120314125 has 16 divisors (see below), whose sum is σ = 326753704368. Its totient is φ = 179535000000.

The previous prime is 243120314111. The next prime is 243120314153. The reversal of 243120314125 is 521413021342.

243120314125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41226459849 + 201893854276 = 203043^2 + 449326^2 .

It is not a de Polignac number, because 243120314125 - 211 = 243120312077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 243120314093 and 243120314102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74804626 + ... + 74807875.

It is an arithmetic number, because the mean of its divisors is an integer number (20422106523).

Almost surely, 2243120314125 is an apocalyptic number.

243120314125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243120314125 is a deficient number, since it is larger than the sum of its proper divisors (83633390243).

243120314125 is a wasteful number, since it uses less digits than its factorization.

243120314125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149612529 (or 149612519 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 243120314125 its reverse (521413021342), we get a palindrome (764533335467).

The spelling of 243120314125 in words is "two hundred forty-three billion, one hundred twenty million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 149612501 748062505 1944962513 3740312525 9724812565 18701562625 48624062825 243120314125