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30013243104 = 2531354144453
BaseRepresentation
bin11011111100111011…
…011011111011100000
32212110200012201111110
4123330323123323200
5442431342234404
621442103543320
72111520233325
oct337473337340
985420181443
1030013243104
1111801769849
12599745ab40
132aa4050b60
14164a0d4b4c
15ba9d92b89
hex6fcedbee0

30013243104 has 96 divisors (see below), whose sum is σ = 85003871904. Its totient is φ = 9217566720.

The previous prime is 30013243067. The next prime is 30013243109. The reversal of 30013243104 is 40134231003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013243109) 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 15 ways as a sum of consecutive naturals, for example, 652942 + ... + 697394.

It is an arithmetic number, because the mean of its divisors is an integer number (885456999).

Almost surely, 230013243104 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 30013243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42501935952).

30013243104 is an abundant number, since it is smaller than the sum of its proper divisors (54990628800).

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

30013243104 is a wasteful number, since it uses less digits than its factorization.

30013243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45020 (or 45012 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30013243104 its reverse (40134231003), we get a palindrome (70147474107).

The spelling of 30013243104 in words is "thirty billion, thirteen million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 541 624 1082 1248 1623 2164 3246 4328 6492 7033 8656 12984 14066 17312 21099 25968 28132 42198 44453 51936 56264 84396 88906 112528 133359 168792 177812 225056 266718 337584 355624 533436 577889 675168 711248 1066872 1155778 1422496 1733667 2133744 2311556 3467334 4267488 4623112 6934668 9246224 13869336 18492448 24049073 27738672 48098146 55477344 72147219 96196292 144294438 192392584 288588876 312637949 384785168 577177752 625275898 769570336 937913847 1154355504 1250551796 1875827694 2308711008 2501103592 3751655388 5002207184 7503310776 10004414368 15006621552 30013243104