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243113503410 = 23352815415923
BaseRepresentation
bin1110001001101010110…
…0011010101010110010
3212020111222221120202000
43202122230122222302
512440344024102120
6303403530034430
723364402453141
oct3423254325262
9766458846660
10243113503410
1194116264458
123b14a278a16
1319c05446b3b
14baa3d9d758
1564cd470990
hex389ab1aab2

243113503410 has 128 divisors (see below), whose sum is σ = 651922456320. Its totient is φ = 64469260800.

The previous prime is 243113503343. The next prime is 243113503417. The reversal of 243113503410 is 14305311342.

It is a happy number.

243113503410 is a `hidden beast` number, since 2 + 4 + 3 + 113 + 503 + 41 + 0 = 666.

243113503410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (243113503417) 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 63 ways as a sum of consecutive naturals, for example, 41042709 + ... + 41048631.

It is an arithmetic number, because the mean of its divisors is an integer number (5093144190).

Almost surely, 2243113503410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243113503410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325961228160).

243113503410 is an abundant number, since it is smaller than the sum of its proper divisors (408808952910).

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

243113503410 is a wasteful number, since it uses less digits than its factorization.

243113503410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 243113503410 its reverse (14305311342), we get a palindrome (257418814752).

The spelling of 243113503410 in words is "two hundred forty-three billion, one hundred thirteen million, five hundred three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 281 541 562 843 1082 1405 1623 1686 2529 2705 2810 3246 4215 4869 5058 5410 5923 7587 8115 8430 9738 11846 12645 14607 15174 16230 17769 24345 25290 29214 29615 35538 37935 48690 53307 59230 73035 75870 88845 106614 146070 152021 159921 177690 266535 304042 319842 456063 533070 760105 799605 912126 1368189 1520210 1599210 1664363 2280315 2736378 3204343 3328726 4104567 4560630 4993089 6408686 6840945 8209134 8321815 9613029 9986178 13681890 14979267 16021715 16643630 19226058 20522835 24965445 28839087 29958534 32043430 41045670 44937801 48065145 49930890 57678174 74896335 86517261 89875602 96130290 144195435 149792670 173034522 224689005 288390870 432586305 449378010 865172610 900420383 1800840766 2701261149 4502101915 5402522298 8103783447 9004203830 13506305745 16207566894 24311350341 27012611490 40518917235 48622700682 81037834470 121556751705 243113503410