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243132103350 = 232528321130851
BaseRepresentation
bin1110001001101111001…
…1010111101010110110
3212020120021221120001200
43202123303113222312
512440413304301400
6303405432433330
723365016531313
oct3423363275266
9766507846050
10243132103350
1194125808904
123b154548846
1319c09259c16
14baa6641d0a
1564cede6b00
hex389bcd7ab6

243132103350 has 144 divisors (see below), whose sum is σ = 664239610944. Its totient is φ = 63748440000.

The previous prime is 243132103339. The next prime is 243132103351. The reversal of 243132103350 is 53301231342.

243132103350 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 321 + 0 + 335 + 0 = 666.

It is a super-2 number, since 2×2431321033502 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243132103351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7865425 + ... + 7896275.

It is an arithmetic number, because the mean of its divisors is an integer number (4612775076).

Almost surely, 2243132103350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243132103350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332119805472).

243132103350 is an abundant number, since it is smaller than the sum of its proper divisors (421107507594).

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

243132103350 is a wasteful number, since it uses less digits than its factorization.

243132103350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31163 (or 31155 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 243132103350 its reverse (53301231342), we get a palindrome (296433334692).

The spelling of 243132103350 in words is "two hundred forty-three billion, one hundred thirty-two million, one hundred three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 211 225 249 415 422 450 498 633 747 830 1055 1245 1266 1494 1899 2075 2110 2490 3165 3735 3798 4150 5275 6225 6330 7470 9495 10550 12450 15825 17513 18675 18990 30851 31650 35026 37350 47475 52539 61702 87565 92553 94950 105078 154255 157617 175130 185106 262695 277659 308510 315234 437825 462765 525390 555318 771275 788085 875650 925530 1313475 1388295 1542550 1576170 2313825 2560633 2626950 2776590 3940425 4627650 5121266 6509561 6941475 7681899 7880850 12803165 13019122 13882950 15363798 19528683 23045697 25606330 32547805 38409495 39057366 46091394 58586049 64015825 65095610 76818990 97643415 115228485 117172098 128031650 162739025 192047475 195286830 230456970 292930245 325478050 384094950 488217075 540293563 576142425 585860490 976434150 1080587126 1152284850 1464651225 1620880689 2701467815 2929302450 3241761378 4862642067 5402935630 8104403445 9725284134 13507339075 16208806890 24313210335 27014678150 40522017225 48626420670 81044034450 121566051675 243132103350