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30301322333312 = 273124413128399
BaseRepresentation
bin1101110001111000100111…
…00011011100110010000000
310222021210000020211021112002
412320330103203130302000
512432424102004131222
6144240122454323132
76245125005066662
oct670742343346200
9128253006737462
1030301322333312
11972279a5599a8
1234947236594a8
1313ba5301c52b4
1476a83dd84532
153783185da392
hex1b8f138dcc80

30301322333312 has 64 divisors (see below), whose sum is σ = 62338750848000. Its totient is φ = 14655918950400.

The previous prime is 30301322333207. The next prime is 30301322333327. The reversal of 30301322333312 is 21333322310303.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8121689 + ... + 11250087.

It is an arithmetic number, because the mean of its divisors is an integer number (974042982000).

Almost surely, 230301322333312 is an apocalyptic number.

30301322333312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30301322333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169375424000).

30301322333312 is an abundant number, since it is smaller than the sum of its proper divisors (32037428514688).

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

30301322333312 is a wasteful number, since it uses less digits than its factorization.

30301322333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130885 (or 3130873 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 30301322333312 its reverse (21333322310303), we get a palindrome (51634644643615).

The spelling of 30301322333312 in words is "thirty trillion, three hundred one billion, three hundred twenty-two million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2441 3968 4882 9764 19528 39056 75671 78112 151342 156224 302684 312448 605368 1210736 2421472 3128399 4842944 6256798 9685888 12513596 25027192 50054384 96980369 100108768 193960738 200217536 387921476 400435072 775842952 1551685904 3103371808 6206743616 7636421959 12413487232 15272843918 30545687836 61091375672 122182751344 236729080729 244365502688 473458161458 488731005376 946916322916 977462010752 1893832645832 3787665291664 7575330583328 15150661166656 30301322333312