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243300141 = 32721722383
BaseRepresentation
bin11101000000001…
…11011100101101
3121221210221001100
432200013130231
5444241101031
640050433313
76013005600
oct1640073455
9557727040
10243300141
11115377aa7
1269592839
133b537ca6
1424454337
151655dde6
hexe80772d

243300141 has 108 divisors (see below), whose sum is σ = 458613792. Its totient is φ = 123653376.

The previous prime is 243300137. The next prime is 243300151. The reversal of 243300141 is 141003342.

243300141 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 243300141 - 22 = 243300137 is a prime.

It is a super-2 number, since 2×2433001412 = 118389917221239762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243300151) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2931286 + ... + 2931368.

It is an arithmetic number, because the mean of its divisors is an integer number (4246424).

Almost surely, 2243300141 is an apocalyptic number.

243300141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

243300141 is a deficient number, since it is larger than the sum of its proper divisors (215313651).

243300141 is a wasteful number, since it uses less digits than its factorization.

243300141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 243300141 is about 15598.0813243168. The cubic root of 243300141 is about 624.2819623777.

Adding to 243300141 its reverse (141003342), we get a palindrome (384303483).

The spelling of 243300141 in words is "two hundred forty-three million, three hundred thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 23 49 51 63 69 83 119 147 153 161 207 249 289 357 391 441 483 581 747 833 867 1071 1127 1173 1411 1449 1743 1909 2023 2499 2601 2737 3381 3519 4067 4233 5229 5727 6069 6647 7497 8211 9877 10143 12201 12699 13363 14161 17181 18207 19159 19941 23987 24633 29631 32453 36603 40089 42483 46529 57477 59823 69139 71961 88893 93541 97359 120267 127449 139587 167909 172431 207417 215883 227171 280623 292077 325703 418761 503727 551701 622251 681513 841869 977109 1175363 1511181 1590197 1655103 2044539 2931327 3526089 3861907 4770591 4965309 10578267 11585721 14311773 27033349 34757163 81100047 243300141