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243312330225 = 35237611437379
BaseRepresentation
bin1110001010011010001…
…0111000010111110001
3212021000212002000212010
43202212202320113301
512441300424031400
6303435351353133
723402335453146
oct3424642702761
9767025060763
10243312330225
1194208515a38
123b1a49827a9
1319c376b0143
14bac25583cd
1564e0b47450
hex38a68b85f1

243312330225 has 48 divisors (see below), whose sum is σ = 419921942720. Its totient is φ = 124189459200.

The previous prime is 243312330197. The next prime is 243312330227. The reversal of 243312330225 is 522033213342.

It is a happy number.

243312330225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243312330225 - 26 = 243312330161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 243312330192 and 243312330201.

It is not an unprimeable number, because it can be changed into a prime (243312330227) 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 47 ways as a sum of consecutive naturals, for example, 549415 + ... + 887964.

Almost surely, 2243312330225 is an apocalyptic number.

243312330225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243312330225 is a deficient number, since it is larger than the sum of its proper divisors (176609612495).

243312330225 is a wasteful number, since it uses less digits than its factorization.

243312330225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437490 (or 1437485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 243312330225 its reverse (522033213342), we get a palindrome (765345543567).

The spelling of 243312330225 in words is "two hundred forty-three billion, three hundred twelve million, three hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 37 61 75 111 183 185 305 555 915 925 1525 2257 2775 4575 6771 11285 33855 56425 169275 1437379 4312137 7186895 21560685 35934475 53183023 87680119 107803425 159549069 263040357 265915115 438400595 797745345 1315201785 1329575575 2192002975 3244164403 3988726725 6576008925 9732493209 16220822015 48662466045 81104110075 243312330225