Search a number
-
+
4304303213133 = 3721119715978461
BaseRepresentation
bin111110101000101100011…
…101101100101001001101
3120020111011021212121100110
4332220230131230221031
51031010203110310013
613053211455550233
7622655434433400
oct76505435545115
916214137777313
104304303213133
11140a498a50660
1259625252b379
13252b813001b1
1410c487ba3d37
1576e713352c3
hex3ea2c76ca4d

4304303213133 has 96 divisors (see below), whose sum is σ = 7325395532928. Its totient is φ = 2222995622400.

The previous prime is 4304303213117. The next prime is 4304303213167. The reversal of 4304303213133 is 3313123034034.

It is not a de Polignac number, because 4304303213133 - 24 = 4304303213117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4304303213133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4304303213233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508718523 + ... + 508726983.

It is an arithmetic number, because the mean of its divisors is an integer number (76306203468).

Almost surely, 24304303213133 is an apocalyptic number.

It is an amenable number.

4304303213133 is a deficient number, since it is larger than the sum of its proper divisors (3021092319795).

4304303213133 is a wasteful number, since it uses less digits than its factorization.

4304303213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10283 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 4304303213133 its reverse (3313123034034), we get a palindrome (7617426247167).

The spelling of 4304303213133 in words is "four trillion, three hundred four billion, three hundred three million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 49 77 147 197 231 539 591 1379 1597 1617 2167 4137 4791 6501 8461 9653 11179 15169 17567 25383 28959 33537 45507 52701 59227 78253 93071 106183 122969 177681 234759 279213 314609 318549 368907 414589 651497 860783 943827 1243767 1666817 1954491 2202263 2582349 3460699 4560479 5000451 6606789 10382097 11667719 13512217 13681437 15415841 18334987 24224893 35003157 40536651 46247523 55004961 72674679 81674033 94585519 128344909 148634387 169574251 245022099 283756557 385034727 445903161 508722753 662098633 898414363 1040440709 1986295899 2661906749 2695243089 3121322127 7283084963 7985720247 18633347243 21849254889 29280974239 55900041729 87842922717 130433430701 204966819673 391300292103 614900459019 1434767737711 4304303213133