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232005313141 = 7210289460181
BaseRepresentation
bin1101100000010010011…
…0000010001001110101
3211011211211221001100121
43120010212002021311
512300121330010031
6254325355011541
722522210423600
oct3300446021165
9734754831317
10232005313141
118a435a50718
1238b6a139bb1
1318b54c9baa4
14b32c9a9337
15607d160011
hex3604982275

232005313141 has 12 divisors (see below), whose sum is σ = 269910548460. Its totient is φ = 198841937280.

The previous prime is 232005313139. The next prime is 232005313151. The reversal of 232005313141 is 141313500232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 202098798916 + 29906514225 = 449554^2 + 172935^2 .

It is not a de Polignac number, because 232005313141 - 21 = 232005313139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232005313151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274071 + ... + 734251.

It is an arithmetic number, because the mean of its divisors is an integer number (22492545705).

Almost surely, 2232005313141 is an apocalyptic number.

It is an amenable number.

232005313141 is a deficient number, since it is larger than the sum of its proper divisors (37905235319).

232005313141 is a wasteful number, since it uses less digits than its factorization.

232005313141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470484 (or 470477 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 232005313141 its reverse (141313500232), we get a palindrome (373318813373).

The spelling of 232005313141 in words is "two hundred thirty-two billion, five million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 7 49 10289 72023 460181 504161 3221267 22548869 4734802309 33143616163 232005313141