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30212024303331 = 3213716653546661
BaseRepresentation
bin1101101111010010010001…
…11110011111111011100011
310221222020111220211100020100
412313221020332133323203
512424443211210201311
6144131113511513443
76235514061261153
oct667511076377343
9127866456740210
1030212024303331
119698936103322
12347b361988883
1313b1c9b951cc0
147663ac3b4763
15375d3dbbea56
hex1b7a48f9fee3

30212024303331 has 48 divisors (see below), whose sum is σ = 47665655174592. Its totient is φ = 18327366892800.

The previous prime is 30212024303327. The next prime is 30212024303353. The reversal of 30212024303331 is 13330342021203.

30212024303331 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 2 + 0 + 24 + 303 + 331 = 666.

It is not a de Polignac number, because 30212024303331 - 22 = 30212024303327 is a prime.

It is a super-2 number, since 2×302120243033312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30212024303295 and 30212024303304.

It is not an unprimeable number, because it can be changed into a prime (30212024301331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54993141 + ... + 55539801.

It is an arithmetic number, because the mean of its divisors is an integer number (993034482804).

Almost surely, 230212024303331 is an apocalyptic number.

30212024303331 is a deficient number, since it is larger than the sum of its proper divisors (17453630871261).

30212024303331 is a wasteful number, since it uses less digits than its factorization.

30212024303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553404 (or 553401 counting only the distinct ones).

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

Adding to 30212024303331 its reverse (13330342021203), we get a palindrome (43542366324534).

The spelling of 30212024303331 in words is "thirty trillion, two hundred twelve billion, twenty-four million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 71 117 213 639 923 2769 6653 8307 19959 59877 86489 259467 472363 546661 778401 1417089 1639983 4251267 4919949 6140719 7106593 18422157 21319779 38812931 55266471 63959337 116438793 349316379 504568103 1513704309 3636935633 4541112927 10910806899 32732420697 47280163229 141840489687 258222429943 425521469061 774667289829 2324001869487 3356891589259 10070674767777 30212024303331