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30020331321 = 3316756911701
BaseRepresentation
bin11011111101010110…
…011110011100111001
32212111011112211201000
4123331112132130321
5442440201100241
621442515515213
72111634414561
oct337526363471
985434484630
1030020331321
1111805770282
1259998b8b09
132aa5663276
14164b01bda1
15baa7e2eb6
hex6fd59e739

30020331321 has 32 divisors (see below), whose sum is σ = 44823340800. Its totient is φ = 19857052800.

The previous prime is 30020331317. The next prime is 30020331343. The reversal of 30020331321 is 12313302003.

30020331321 is a `hidden beast` number, since 300 + 2 + 0 + 331 + 32 + 1 = 666.

It is not a de Polignac number, because 30020331321 - 22 = 30020331317 is a prime.

It is a super-3 number, since 3×300203313213 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30020331294 and 30020331303.

It is not an unprimeable number, because it can be changed into a prime (30020331301) 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 31 ways as a sum of consecutive naturals, for example, 2559771 + ... + 2571471.

It is an arithmetic number, because the mean of its divisors is an integer number (1400729400).

Almost surely, 230020331321 is an apocalyptic number.

It is an amenable number.

30020331321 is a deficient number, since it is larger than the sum of its proper divisors (14803009479).

30020331321 is a wasteful number, since it uses less digits than its factorization.

30020331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30020331321 its reverse (12313302003), we get a palindrome (42333633324).

The spelling of 30020331321 in words is "thirty billion, twenty million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 167 501 569 1503 1707 4509 5121 11701 15363 35103 95023 105309 285069 315927 855207 1954067 2565621 5862201 6657869 17586603 19973607 52759809 59920821 179762463 1111864123 3335592369 10006777107 30020331321