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304024133133 = 33723677103307
BaseRepresentation
bin1000110110010010100…
…00000001111000001101
31002001201222001011122000
410123021100001320031
514440120134230013
6351400004142513
730652000331040
oct4331120017015
91061658034560
10304024133133
11107a32774066
124ab09097a39
132289174ca86
1410a01778c57
157d95aee973
hex46c9401e0d

304024133133 has 64 divisors (see below), whose sum is σ = 537928888320. Its totient is φ = 165927617856.

The previous prime is 304024133107. The next prime is 304024133167. The reversal of 304024133133 is 331331420403.

304024133133 is a `hidden beast` number, since 304 + 0 + 2 + 41 + 3 + 313 + 3 = 666.

It is not a de Polignac number, because 304024133133 - 214 = 304024116749 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 304024133097 and 304024133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304024133033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891266 + ... + 2994572.

It is an arithmetic number, because the mean of its divisors is an integer number (8405138880).

Almost surely, 2304024133133 is an apocalyptic number.

It is an amenable number.

304024133133 is a deficient number, since it is larger than the sum of its proper divisors (233904755187).

304024133133 is a wasteful number, since it uses less digits than its factorization.

304024133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104023 (or 104017 counting only the distinct ones).

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

Adding to 304024133133 its reverse (331331420403), we get a palindrome (635355553536).

The spelling of 304024133133 in words is "three hundred four billion, twenty-four million, one hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 677 1449 2031 4347 4739 6093 14217 15571 18279 42651 46713 103307 108997 127953 140139 309921 326991 420417 723149 929763 980973 2169447 2376061 2789289 2942919 6508341 7128183 16632427 19525023 21384549 49897281 64153647 69938839 149691843 209816517 449075529 489571873 629449551 1468715619 1608593297 1888348653 4406146857 4825779891 11260153079 13218440571 14477339673 33780459237 43432019019 101341377711 304024133133