Search a number
-
+
303113330144112 = 243151152791273709
BaseRepresentation
bin100010011101011100001001…
…0010111101011001101110000
31110202020100111010212200121010
41010322320102113223031300
5304212202100004102422
62552400201434030520
7120563133614165445
oct10472702227531560
91422210433780533
10303113330144112
1188643706799924
1229bb5488b78440
1310019606339697
1454bca98cd79cc
152509a17704b0c
hex113ae125eb370

303113330144112 has 80 divisors (see below), whose sum is σ = 788236521935360. Its totient is φ = 100367628768000.

The previous prime is 303113330144087. The next prime is 303113330144123. The reversal of 303113330144112 is 211441033311303.

It is a happy number.

It is a super-2 number, since 2×3031133301441122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 303113330144112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107292314 + ... + 1107566022.

It is an arithmetic number, because the mean of its divisors is an integer number (9852956524192).

Almost surely, 2303113330144112 is an apocalyptic number.

It is an amenable number.

303113330144112 is an abundant number, since it is smaller than the sum of its proper divisors (485123191791248).

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

303113330144112 is a wasteful number, since it uses less digits than its factorization.

303113330144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426662 (or 426656 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 303113330144112 its reverse (211441033311303), we get a palindrome (514554363455415).

The spelling of 303113330144112 in words is "three hundred three trillion, one hundred thirteen billion, three hundred thirty million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 7248 152791 273709 305582 458373 547418 611164 821127 916746 1094836 1222328 1642254 1833492 2189672 2444656 3284508 3666984 4379344 6569016 7333968 13138032 23071441 41330059 46142882 69214323 82660118 92285764 123990177 138428646 165320236 184571528 247980354 276857292 330640472 369143056 495960708 553714584 661280944 991921416 1107429168 1983842832 41820271819 83640543638 125460815457 167281087276 250921630914 334562174552 501843261828 669124349104 1003686523656 2007373047312 6314861044669 12629722089338 18944583134007 25259444178676 37889166268014 50518888357352 75778332536028 101037776714704 151556665072056 303113330144112