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300300013112 = 231119212137793
BaseRepresentation
bin1000101111010110100…
…01101000111000111000
31001201010102110021100212
410113223101220320320
514410003300404422
6345542251250252
730460466665211
oct4275321507070
91051112407325
10300300013112
111063a158a620
124a249a49988
132241a032668
141076ad1a408
157c28bc19e2
hex45eb468e38

300300013112 has 96 divisors (see below), whose sum is σ = 648898199280. Its totient is φ = 129192606720.

The previous prime is 300300013087. The next prime is 300300013217. The reversal of 300300013112 is 211310003003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38530688 + ... + 38538480.

Almost surely, 2300300013112 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 300300013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324449099640).

300300013112 is an abundant number, since it is smaller than the sum of its proper divisors (348598186168).

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

300300013112 is a wasteful number, since it uses less digits than its factorization.

300300013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 300300013112 its reverse (211310003003), we get a palindrome (511610016115).

The spelling of 300300013112 in words is "three hundred billion, three hundred million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 361 418 722 836 1213 1444 1672 2426 2888 3971 4852 7793 7942 9704 13343 15586 15884 23047 26686 31172 31768 46094 53372 62344 85723 92188 106744 148067 171446 184376 253517 296134 342892 437893 507034 592268 685784 875786 1014068 1184536 1628737 1751572 2028136 2813273 3257474 3503144 4816823 5626546 6514948 9452909 9633646 11253092 13029896 18905818 19267292 22506184 30946003 37811636 38534584 61892006 75623272 103981999 123784012 179605271 207963998 247568024 359210542 415927996 718421084 831855992 1436842168 1975657981 3412500149 3951315962 6825000298 7902631924 13650000596 15805263848 27300001192 37537501639 75075003278 150150006556 300300013112