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30503524116 = 223131798311701
BaseRepresentation
bin11100011010001001…
…101101011100010100
32220201211202120121110
4130122021231130110
5444432400232431
622002500215020
72126622451122
oct343211553424
986654676543
1030503524116
1111a3349816a
125ab369a470
132b517b2270
14169527a912
15bd7e3b346
hex71a26d714

30503524116 has 96 divisors (see below), whose sum is σ = 81248203008. Its totient is φ = 8823859200.

The previous prime is 30503524109. The next prime is 30503524199. The reversal of 30503524116 is 61142530503.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2601066 + ... + 2612766.

It is an arithmetic number, because the mean of its divisors is an integer number (846335448).

Almost surely, 230503524116 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 30503524116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40624101504).

30503524116 is an abundant number, since it is smaller than the sum of its proper divisors (50744678892).

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

30503524116 is a wasteful number, since it uses less digits than its factorization.

30503524116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12721 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 30503524116 in words is "thirty billion, five hundred three million, five hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 983 1326 1966 2652 2949 3932 5898 11701 11796 12779 16711 23402 25558 33422 35103 38337 46804 50133 51116 66844 70206 76674 100266 140412 152113 153348 198917 200532 217243 304226 397834 434486 456339 596751 608452 651729 795668 868972 912678 1193502 1303458 1825356 2387004 2585921 2606916 5171842 7757763 10343684 11502083 15515526 23004166 31031052 34506249 46008332 69012498 138024996 149527079 195535411 299054158 391070822 448581237 586606233 598108316 782141644 897162474 1173212466 1794324948 2346424932 2541960343 5083920686 7625881029 10167841372 15251762058 30503524116