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30096319120 = 245765981553
BaseRepresentation
bin11100000001111000…
…010110001010010000
32212200110112102100221
4130001320112022100
5443114124202440
621454232322424
72113546330420
oct340170261220
985613472327
1030096319120
111184465100a
1259bb243414
132ab831a36a
14165715c480
15bb2302d4a
hex701e16290

30096319120 has 80 divisors (see below), whose sum is σ = 80092552320. Its totient is φ = 10302953472.

The previous prime is 30096319117. The next prime is 30096319129. The reversal of 30096319120 is 2191369003.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30096319129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 328264 + ... + 409816.

It is an arithmetic number, because the mean of its divisors is an integer number (1001156904).

Almost surely, 230096319120 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 30096319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40046276160).

30096319120 is an abundant number, since it is smaller than the sum of its proper divisors (49996233200).

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

30096319120 is a wasteful number, since it uses less digits than its factorization.

30096319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82232 (or 82226 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 30096319120 in words is "thirty billion, ninety-six million, three hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 659 1318 2636 3295 4613 5272 6590 9226 10544 13180 18452 23065 26360 36904 46130 52720 73808 81553 92260 163106 184520 326212 369040 407765 570871 652424 815530 1141742 1304848 1631060 2283484 2854355 3262120 4566968 5708710 6524240 9133936 11417420 22834840 45669680 53743427 107486854 214973708 268717135 376203989 429947416 537434270 752407978 859894832 1074868540 1504815956 1881019945 2149737080 3009631912 3762039890 4299474160 6019263824 7524079780 15048159560 30096319120