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30242312320 = 275117954377
BaseRepresentation
bin11100001010100101…
…010001000010000000
32220001122020122101111
4130022211101002000
5443414012443240
621520525413104
72120301261523
oct341245210200
986048218344
1030242312320
1111909aa6950
125a4010a194
132b0c64557c
14166c6c2bba
15bc00401ea
hex70a951080

30242312320 has 128 divisors (see below), whose sum is σ = 79870406400. Its totient is φ = 10857799680.

The previous prime is 30242312281. The next prime is 30242312339. The reversal of 30242312320 is 2321324203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30242312291 and 30242312300.

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 15 ways as a sum of consecutive naturals, for example, 528972 + ... + 583348.

It is an arithmetic number, because the mean of its divisors is an integer number (623987550).

Almost surely, 230242312320 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 30242312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39935203200).

30242312320 is an abundant number, since it is smaller than the sum of its proper divisors (49628094080).

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

30242312320 is a wasteful number, since it uses less digits than its factorization.

30242312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54486 (or 54474 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30242312320 its reverse (2321324203), we get a palindrome (32563636523).

The spelling of 30242312320 in words is "thirty billion, two hundred forty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 128 158 160 176 220 316 320 352 395 440 632 640 704 790 869 880 1264 1408 1580 1738 1760 2528 3160 3476 3520 4345 5056 6320 6952 7040 8690 10112 12640 13904 17380 25280 27808 34760 50560 54377 55616 69520 108754 111232 139040 217508 271885 278080 435016 543770 556160 598147 870032 1087540 1196294 1740064 2175080 2392588 2990735 3480128 4295783 4350160 4785176 5981470 6960256 8591566 8700320 9570352 11962940 17183132 17400640 19140704 21478915 23925880 34366264 34801280 38281408 42957830 47253613 47851760 68732528 76562816 85915660 94507226 95703520 137465056 171831320 189014452 191407040 236268065 274930112 343662640 378028904 382814080 472536130 549860224 687325280 756057808 945072260 1374650560 1512115616 1890144520 2749301120 3024231232 3780289040 6048462464 7560578080 15121156160 30242312320