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30120132330 = 23251719686361
BaseRepresentation
bin11100000011010011…
…001011111011101010
32212202010100020221200
4130003103023323222
5443141223213310
621500442545030
72114255620611
oct340323137352
985663306850
1030120132330
1111857036252
125a07208176
132ac0237312
14165a39a878
15bb44589c0
hex7034cbeea

30120132330 has 48 divisors (see below), whose sum is σ = 82918956744. Its totient is φ = 7559562240.

The previous prime is 30120132319. The next prime is 30120132331. The reversal of 30120132330 is 3323102103.

30120132330 is a `hidden beast` number, since 301 + 2 + 0 + 1 + 32 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18629793081 + 11490339249 = 136491^2 + 107193^2 .

It is a super-2 number, since 2×301201323302 (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 (30120132331) 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 23 ways as a sum of consecutive naturals, for example, 9841651 + ... + 9844710.

Almost surely, 230120132330 is an apocalyptic number.

30120132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30120132330 is an abundant number, since it is smaller than the sum of its proper divisors (52798824414).

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

30120132330 is a wasteful number, since it uses less digits than its factorization.

30120132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19686391 (or 19686388 counting only the distinct ones).

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

Adding to 30120132330 its reverse (3323102103), we get a palindrome (33443234433).

The spelling of 30120132330 in words is "thirty billion, one hundred twenty million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 19686361 39372722 59059083 98431805 118118166 177177249 196863610 295295415 334668137 354354498 590590830 669336274 885886245 1004004411 1673340685 1771772490 2008008822 3012013233 3346681370 5020022055 6024026466 10040044110 15060066165 30120132330