Search a number
-
+
232333102413 = 3379787138403
BaseRepresentation
bin1101100001100000100…
…0011100110101001101
3211012200200201110201000
43120120020130311031
512301304233234123
6254422104410513
722533300533466
oct3303010346515
9735620643630
10232333102413
118a593a85645
123903ba76a39
1318ba7b79539
14b360333d6d
15609bd0cb43
hex361821cd4d

232333102413 has 32 divisors (see below), whose sum is σ = 348999526400. Its totient is φ = 152732696688.

The previous prime is 232333102349. The next prime is 232333102429. The reversal of 232333102413 is 314201333232.

232333102413 is a `hidden beast` number, since 2 + 3 + 233 + 3 + 10 + 2 + 413 = 666.

It is not a de Polignac number, because 232333102413 - 26 = 232333102349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232333103413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609470 + ... + 1747872.

It is an arithmetic number, because the mean of its divisors is an integer number (10906235200).

Almost surely, 2232333102413 is an apocalyptic number.

It is an amenable number.

232333102413 is a deficient number, since it is larger than the sum of its proper divisors (116666423987).

232333102413 is a wasteful number, since it uses less digits than its factorization.

232333102413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139278 (or 139272 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232333102413 its reverse (314201333232), we get a palindrome (546534435645).

The spelling of 232333102413 in words is "two hundred thirty-two billion, three hundred thirty-three million, one hundred two thousand, four hundred thirteen".

Divisors: 1 3 9 27 79 237 711 787 2133 2361 7083 21249 62173 138403 186519 415209 559557 1245627 1678671 3736881 10933837 32801511 98404533 108923161 295213599 326769483 980308449 2940925347 8604929719 25814789157 77444367471 232333102413