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243131524050 = 23524734486741
BaseRepresentation
bin1110001001101111000…
…1001010001111010010
3212020120020212010102010
43202123301022033102
512440413132232200
6303405412203350
723365011566352
oct3423361121722
9766506763363
10243131524050
1194125452648
123b154309556
1319c090b633c
14baa6530b62
1564ced30150
hex389bc4a3d2

243131524050 has 48 divisors (see below), whose sum is σ = 615795265152. Its totient is φ = 63455601600.

The previous prime is 243131524049. The next prime is 243131524061. The reversal of 243131524050 is 50425131342.

243131524050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2431315240503 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243131523999 and 243131524017.

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 23 ways as a sum of consecutive naturals, for example, 17236321 + ... + 17250420.

It is an arithmetic number, because the mean of its divisors is an integer number (12829068024).

Almost surely, 2243131524050 is an apocalyptic number.

243131524050 is an abundant number, since it is smaller than the sum of its proper divisors (372663741102).

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

243131524050 is a wasteful number, since it uses less digits than its factorization.

243131524050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34486803 (or 34486798 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 243131524050 its reverse (50425131342), we get a palindrome (293556655392).

The spelling of 243131524050 in words is "two hundred forty-three billion, one hundred thirty-one million, five hundred twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 34486741 68973482 103460223 172433705 206920446 344867410 517301115 862168525 1034602230 1620876827 1724337050 2586505575 3241753654 4862630481 5173011150 8104384135 9725260962 16208768270 24313152405 40521920675 48626304810 81043841350 121565762025 243131524050