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243243133110 = 23351319777039
BaseRepresentation
bin1110001010001001101…
…0111010100010110110
3212020212000212110021000
43202202122322202312
512441130220224420
6303424440304130
723400535342245
oct3424232724266
9766760773230
10243243133110
119418245313a
123b185772046
1319c26262bc3
14bab72a495c
1564d9a29690
hex38a26ba8b6

243243133110 has 128 divisors (see below), whose sum is σ = 654361804800. Its totient is φ = 64294663680.

The previous prime is 243243133109. The next prime is 243243133129. The reversal of 243243133110 is 11331342342.

It is a happy number.

243243133110 is a `hidden beast` number, since 2 + 4 + 32 + 4 + 313 + 311 + 0 = 666.

243243133110 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 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 63 ways as a sum of consecutive naturals, for example, 34552971 + ... + 34560009.

It is an arithmetic number, because the mean of its divisors is an integer number (5112201600).

Almost surely, 2243243133110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243243133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327180902400).

243243133110 is an abundant number, since it is smaller than the sum of its proper divisors (411118671690).

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

243243133110 is a wasteful number, since it uses less digits than its factorization.

243243133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 243243133110 its reverse (11331342342), we get a palindrome (254574475452).

The spelling of 243243133110 in words is "two hundred forty-three billion, two hundred forty-three million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 655 786 977 1179 1310 1954 1965 2358 2931 3537 3930 4885 5862 5895 7039 7074 8793 9770 11790 14078 14655 17586 17685 21117 26379 29310 35195 35370 42234 43965 52758 63351 70390 87930 105585 126702 127987 131895 190053 211170 255974 263790 316755 380106 383961 633510 639935 767922 922109 950265 1151883 1279870 1844218 1900530 1919805 2303766 2766327 3455649 3839610 4610545 5532654 5759415 6877103 6911298 8298981 9221090 11518830 13754206 13831635 16597962 17278245 20631309 24896943 27663270 34385515 34556490 41262618 41494905 49793886 61893927 68771030 82989810 103156545 123787854 124484715 185681781 206313090 248969430 309469635 371363562 618939270 900900493 928408905 1801800986 1856817810 2702701479 4504502465 5405402958 8108104437 9009004930 13513507395 16216208874 24324313311 27027014790 40540522185 48648626622 81081044370 121621566555 243243133110