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30212132132 = 22713432298429
BaseRepresentation
bin11100001000110010…
…001000110100100100
32212222112110022221202
4130020302020310210
5443333301212012
621513530502032
72116453612610
oct341062106444
985875408852
1030212132132
11118a3a63046
125a31b94918
132b06309580
1416686a8340
15bbc57ccc2
hex708c88d24

30212132132 has 96 divisors (see below), whose sum is σ = 66884294400. Its totient is φ = 11621740032.

The previous prime is 30212132081. The next prime is 30212132173. The reversal of 30212132132 is 23123121203.

It is a super-3 number, since 3×302121321323 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3580094 + ... + 3588522.

It is an arithmetic number, because the mean of its divisors is an integer number (696711400).

Almost surely, 230212132132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33442147200).

30212132132 is an abundant number, since it is smaller than the sum of its proper divisors (36672162268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30212132132 is a wasteful number, since it uses less digits than its factorization.

30212132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30212132132 its reverse (23123121203), we get a palindrome (53335253335).

The spelling of 30212132132 in words is "thirty billion, two hundred twelve million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 229 301 364 458 559 602 916 1118 1204 1603 2236 2977 3206 3913 5954 6412 7826 8429 9847 11908 15652 16858 19694 20839 33716 39388 41678 59003 68929 83356 109577 118006 128011 137858 219154 236012 256022 275716 362447 438308 512044 724894 767039 896077 1449788 1534078 1792154 1930241 2537129 3068156 3584308 3860482 4711811 5074258 7720964 9423622 10148516 13511687 18847244 25093133 27023374 32982677 50186266 54046748 65965354 83000363 100372532 131930708 166000726 175651931 332001452 351303862 581002541 702607724 1079004719 1162005082 2158009438 2324010164 4316018876 7553033033 15106066066 30212132132