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30305203425 = 32527173972851
BaseRepresentation
bin11100001110010101…
…001011010011100001
32220020000120211202200
4130032111023103201
5444031113002200
621531053403413
72121663656520
oct341625132341
986200524680
1030305203425
1111941551972
125a59199569
132b1c695443
141676bb44b7
15bc5814800
hex70e54b4e1

30305203425 has 144 divisors (see below), whose sum is σ = 65871891072. Its totient is φ = 13001472000.

The previous prime is 30305203363. The next prime is 30305203427. The reversal of 30305203425 is 52430250303.

30305203425 is a `hidden beast` number, since 3 + 0 + 30 + 5 + 203 + 425 = 666.

It is not a de Polignac number, because 30305203425 - 210 = 30305202401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30305203427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10628250 + ... + 10631100.

It is an arithmetic number, because the mean of its divisors is an integer number (457443688).

Almost surely, 230305203425 is an apocalyptic number.

30305203425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30305203425 is an abundant number, since it is smaller than the sum of its proper divisors (35566687647).

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

30305203425 is a wasteful number, since it uses less digits than its factorization.

30305203425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 30305203425 its reverse (52430250303), we get a palindrome (82735453728).

The spelling of 30305203425 in words is "thirty billion, three hundred five million, two hundred three thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 397 425 525 595 765 1071 1191 1275 1575 1785 1985 2779 2851 2975 3573 3825 5355 5955 6749 8337 8553 8925 9925 13895 14255 17865 19957 20247 25011 25659 26775 29775 33745 41685 42765 47243 48467 59871 60741 69475 71275 89325 99785 101235 125055 128295 141729 145401 168725 179613 208425 213825 236215 242335 299355 303705 339269 425187 436203 498925 506175 625275 641475 708645 727005 898065 1017807 1131847 1181075 1211675 1496775 1518525 1696345 2125935 2181015 3053421 3395541 3543225 3635025 4490325 5089035 5659235 7922929 8481725 10186623 10629675 10905075 15267105 16977705 19241399 23768787 25445175 28296175 39614645 50933115 57724197 71306361 76335525 84888525 96206995 118843935 134689793 173172591 198073225 254665575 288620985 356531805 404069379 481034975 594219675 673448965 865862955 1212208137 1443104925 1782659025 2020346895 3367244825 4329314775 6061040685 10101734475 30305203425