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30211320321 = 32713211325111
BaseRepresentation
bin11100001000101111…
…000010101000000001
32212222110221002100200
4130020233002220001
5443333044222241
621513501235413
72116443662040
oct341057025001
985873832320
1030211320321
11118a3559126
125a31862b69
132b060b3c00
141668536557
15bbc46c4b6
hex708bc2a01

30211320321 has 72 divisors (see below), whose sum is σ = 54484200576. Its totient is φ = 15793989120.

The previous prime is 30211320281. The next prime is 30211320353. The reversal of 30211320321 is 12302311203.

30211320321 is a `hidden beast` number, since 3 + 0 + 21 + 1 + 320 + 321 = 666.

It is not a de Polignac number, because 30211320321 - 213 = 30211312129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30211320294 and 30211320303.

It is not an unprimeable number, because it can be changed into a prime (30211320371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1190556 + ... + 1215666.

It is an arithmetic number, because the mean of its divisors is an integer number (756725008).

Almost surely, 230211320321 is an apocalyptic number.

It is an amenable number.

30211320321 is a deficient number, since it is larger than the sum of its proper divisors (24272880255).

30211320321 is a wasteful number, since it uses less digits than its factorization.

30211320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25263 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30211320321 its reverse (12302311203), we get a palindrome (42513631524).

The spelling of 30211320321 in words is "thirty billion, two hundred eleven million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 113 117 169 273 339 507 791 819 1017 1183 1469 1521 2373 3549 4407 7119 10283 10647 13221 19097 25111 30849 57291 75333 92547 133679 171873 175777 225999 326443 401037 527331 979329 1203111 1581993 2285101 2837543 2937987 4243759 6855303 8512629 12731277 19862801 20565909 25537887 29706313 36888059 38193831 59588403 89118939 110664177 178765209 258216413 267356817 331992531 479544767 774649239 1438634301 2323947717 3356813369 4315902903 10070440107 30211320321