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243130210024 = 231324714925679
BaseRepresentation
bin1110001001101110110…
…0001001011011101000
3212020120011101100220111
43202123230021123220
512440412313210044
6303405324104104
723364664454362
oct3423354113350
9766504340814
10243130210024
1194124735379
123b153995034
1319c08a46200
14baa62abd32
1564ceb70b34
hex389bb096e8

243130210024 has 96 divisors (see below), whose sum is σ = 507539520000. Its totient is φ = 109085074176.

The previous prime is 243130210021. The next prime is 243130210051. The reversal of 243130210024 is 420012031342.

243130210024 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-4 number, since 4×2431302100244 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 243130209977 and 243130210004.

It is not an unprimeable number, because it can be changed into a prime (243130210021) by changing a digit.

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, 9455217 + ... + 9480895.

It is an arithmetic number, because the mean of its divisors is an integer number (5286870000).

Almost surely, 2243130210024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243130210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253769760000).

243130210024 is an abundant number, since it is smaller than the sum of its proper divisors (264409309976).

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

243130210024 is a wasteful number, since it uses less digits than its factorization.

243130210024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25907 (or 25890 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 243130210024 its reverse (420012031342), we get a palindrome (663142241366).

The spelling of 243130210024 in words is "two hundred forty-three billion, one hundred thirty million, two hundred ten thousand, twenty-four".

Divisors: 1 2 4 8 13 26 47 52 94 104 149 169 188 298 338 376 596 611 676 1192 1222 1352 1937 2444 3874 4888 7003 7748 7943 14006 15496 15886 25181 25679 28012 31772 50362 51358 56024 63544 91039 100724 102716 182078 201448 205432 333827 364156 667654 728312 1183507 1206913 1335308 2367014 2413826 2670616 3826171 4339751 4734028 4827652 7652342 8679502 9468056 9655304 15304684 15689869 17359004 30609368 31379738 34718008 49740223 62759476 99480446 125518952 179830037 198960892 203968297 359660074 397921784 407936594 646622899 719320148 815873188 1293245798 1438640296 1631746376 2337790481 2586491596 4675580962 5172983192 9351161924 18702323848 30391276253 60782552506 121565105012 243130210024