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30300132330 = 23251353488633
BaseRepresentation
bin11100001110000001…
…110101001111101010
32220012200001012112100
4130032001311033222
5444023313213310
621530352554230
72121602606136
oct341601651752
986180035470
1030300132330
11119396a8986
125a57552976
132b1b60b1b0
1416762543c6
15bc5161ec0
hex70e0753ea

30300132330 has 96 divisors (see below), whose sum is σ = 86441309136. Its totient is φ = 7317752832.

The previous prime is 30300132329. The next prime is 30300132337. The reversal of 30300132330 is 3323100303.

30300132330 is a `hidden beast` number, since 3 + 0 + 300 + 1 + 32 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8866293921 + 21433838409 = 94161^2 + 146403^2 .

It is a super-2 number, since 2×303001323302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30300132337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182307 + ... + 306326.

Almost surely, 230300132330 is an apocalyptic number.

30300132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30300132330 is an abundant number, since it is smaller than the sum of its proper divisors (56141176806).

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

30300132330 is a wasteful number, since it uses less digits than its factorization.

30300132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488712 (or 488709 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30300132330 its reverse (3323100303), we get a palindrome (33623232633).

The spelling of 30300132330 in words is "thirty billion, three hundred million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2385 3445 4134 4770 6201 6890 10335 12402 20670 31005 62010 488633 977266 1465899 2443165 2931798 4397697 4886330 6352229 7329495 8795394 12704458 14658990 19056687 21988485 25897549 31761145 38113374 43976970 51795098 57170061 63522290 77692647 95283435 114340122 129487745 155385294 190566870 233077941 258975490 285850305 336668137 388463235 466155882 571700610 673336274 776926470 1010004411 1165389705 1683340685 2020008822 2330779410 3030013233 3366681370 5050022055 6060026466 10100044110 15150066165 30300132330