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30131332321 = 17233773103277
BaseRepresentation
bin11100000011111101…
…111010010011100001
32212202220102021110011
4130003331322103201
5443202110113241
621501523004521
72114453045626
oct340375722341
985686367404
1030131332321
1111862395a42
125a0ab09741
132ac265912c
14165ba7434d
15bb541c281
hex703f7a4e1

30131332321 has 64 divisors (see below), whose sum is σ = 35121835008. Its totient is φ = 25685434368.

The previous prime is 30131332313. The next prime is 30131332453. The reversal of 30131332321 is 12323313103.

It is not a de Polignac number, because 30131332321 - 23 = 30131332313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30131332292 and 30131332301.

It is not an unprimeable number, because it can be changed into a prime (30131332921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108777235 + ... + 108777511.

It is an arithmetic number, because the mean of its divisors is an integer number (548778672).

Almost surely, 230131332321 is an apocalyptic number.

It is an amenable number.

30131332321 is a deficient number, since it is larger than the sum of its proper divisors (4990502687).

30131332321 is a wasteful number, since it uses less digits than its factorization.

30131332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 30131332321 its reverse (12323313103), we get a palindrome (42454645424).

The spelling of 30131332321 in words is "thirty billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 17 23 37 73 103 277 391 629 851 1241 1679 1751 2369 2701 3811 4709 6371 7519 10249 14467 20221 28531 28543 40273 45917 62123 64787 87653 108307 127823 172937 174233 235727 278203 343757 465083 485027 656213 748177 1055647 1056091 1490101 2082763 2939929 4007359 4729451 6398669 7906411 11155621 12719009 17208071 17945999 24279881 35406971 47903549 77062231 108777373 292537207 412757977 814360333 1310057927 1772431313 30131332321