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30321040332 = 223111923715099
BaseRepresentation
bin11100001111010001…
…100101101111001100
32220021010101102220210
4130033101211233030
5444044141242312
621532421042420
72122245406332
oct341721455714
986233342823
1030321040332
111194a489420
125a62556410
132b22a4b9ab
141678d37b52
15bc6de1e3c
hex70f465bcc

30321040332 has 96 divisors (see below), whose sum is σ = 81293184000. Its totient is φ = 8699227200.

The previous prime is 30321040307. The next prime is 30321040333. The reversal of 30321040332 is 23304012303.

It is a junction number, because it is equal to n+sod(n) for n = 30321040299 and 30321040308.

It is not an unprimeable number, because it can be changed into a prime (30321040333) 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 31 ways as a sum of consecutive naturals, for example, 5943919 + ... + 5949017.

It is an arithmetic number, because the mean of its divisors is an integer number (846804000).

Almost surely, 230321040332 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 30321040332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40646592000).

30321040332 is an abundant number, since it is smaller than the sum of its proper divisors (50972143668).

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

30321040332 is a wasteful number, since it uses less digits than its factorization.

30321040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 30321040332 its reverse (23304012303), we get a palindrome (53625052635).

The spelling of 30321040332 in words is "thirty billion, three hundred twenty-one million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2371 2508 4742 5099 7113 9484 10198 14226 15297 20396 26081 28452 30594 45049 52162 56089 61188 78243 90098 96881 104324 112178 135147 156486 168267 180196 193762 224356 270294 290643 312972 336534 387524 495539 540588 581286 673068 991078 1065691 1162572 1486617 1982156 2131382 2973234 3197073 4262764 5946468 6394146 12089729 12788292 24179458 36269187 48358916 72538374 132987019 145076748 229704851 265974038 398961057 459409702 531948076 689114553 797922114 918819404 1378229106 1595844228 2526753361 2756458212 5053506722 7580260083 10107013444 15160520166 30321040332