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30132130320 = 2432541850181
BaseRepresentation
bin11100000100000000…
…111101001000010000
32212202221220211002200
4130010000331020100
5443202311132240
621501552043200
72114462611305
oct340400751020
985687824080
1030132130320
1111862890546
125a0b233500
132ac2878416
14165bc010ac
15bb5528930
hex70403d210

30132130320 has 60 divisors (see below), whose sum is σ = 101193740076. Its totient is φ = 8035234560.

The previous prime is 30132130319. The next prime is 30132130349. The reversal of 30132130320 is 2303123103.

30132130320 is a `hidden beast` number, since 301 + 32 + 13 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19952127504 + 10180002816 = 141252^2 + 100896^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 30132130293 and 30132130302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20924371 + ... + 20925810.

Almost surely, 230132130320 is an apocalyptic number.

30132130320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30132130320 is an abundant number, since it is smaller than the sum of its proper divisors (71061609756).

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

30132130320 is a wasteful number, since it uses less digits than its factorization.

30132130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41850200 (or 41850191 counting only the distinct ones).

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

Adding to 30132130320 its reverse (2303123103), we get a palindrome (32435253423).

The spelling of 30132130320 in words is "thirty billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 41850181 83700362 125550543 167400724 209250905 251101086 334801448 376651629 418501810 502202172 627752715 669602896 753303258 837003620 1004404344 1255505430 1506606516 1674007240 1883258145 2008808688 2511010860 3013213032 3348014480 3766516290 5022021720 6026426064 7533032580 10044043440 15066065160 30132130320