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30320202333312 = 2732127207241103
BaseRepresentation
bin1101110010011011110001…
…11000111011110010000000
310222100120202000212122121100
412321031320320323302000
512433231233244131222
6144252524134254400
76246363610331523
oct671157070736200
9128316660778540
1030320202333312
11972a7a8853391
1234983124b7400
1313bc24b838b28
1476b711602bba
15378a70d6e4ac
hex1b9378e3bc80

30320202333312 has 96 divisors (see below), whose sum is σ = 87936545249280. Its totient is φ = 10027153479168.

The previous prime is 30320202333307. The next prime is 30320202333313. The reversal of 30320202333312 is 21333320202303.

30320202333312 is a `hidden beast` number, since 3 + 0 + 320 + 2 + 0 + 2 + 3 + 3 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (30320202333313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103474248 + ... + 103766855.

It is an arithmetic number, because the mean of its divisors is an integer number (916005679680).

Almost surely, 230320202333312 is an apocalyptic number.

30320202333312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30320202333312 is an abundant number, since it is smaller than the sum of its proper divisors (57616342915968).

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

30320202333312 is a wasteful number, since it uses less digits than its factorization.

30320202333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207241250 (or 207241235 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30320202333312 its reverse (21333320202303), we get a palindrome (51653522535615).

The spelling of 30320202333312 in words is "thirty trillion, three hundred twenty billion, two hundred two million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 36576 48768 73152 146304 207241103 414482206 621723309 828964412 1243446618 1657928824 1865169927 2486893236 3315857648 3730339854 4973786472 6631715296 7460679708 9947572944 13263430592 14921359416 19895145888 26319620081 26526861184 29842718832 39790291776 52639240162 59685437664 78958860243 79580583552 105278480324 119370875328 157917720486 210556960648 236876580729 238741750656 315835440972 421113921296 473753161458 631670881944 842227842592 947506322916 1263341763888 1684455685184 1895012645832 2526683527776 3368911370368 3790025291664 5053367055552 7580050583328 10106734111104 15160101166656 30320202333312