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3003321300012 = 22321123972743649
BaseRepresentation
bin101011101101000011111…
…001100011010000101100
3101122010002121212210112200
4223231003321203100230
5343201300223100022
610215412354301500
7426661046561355
oct53550371432054
911563077783480
103003321300012
11a58779639620
12406092287890
1318a29a95c297
14a550c058d2c
15531cb102bac
hex2bb43e6342c

3003321300012 has 144 divisors (see below), whose sum is σ = 8328168576000. Its totient is φ = 905022074880.

The previous prime is 3003321299989. The next prime is 3003321300013. The reversal of 3003321300012 is 2100031233003.

3003321300012 is a `hidden beast` number, since 30 + 0 + 3 + 321 + 300 + 0 + 12 = 666.

3003321300012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30033213000122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3003321300013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68784364 + ... + 68828012.

It is an arithmetic number, because the mean of its divisors is an integer number (57834504000).

Almost surely, 23003321300012 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 3003321300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164084288000).

3003321300012 is an abundant number, since it is smaller than the sum of its proper divisors (5324847275988).

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

3003321300012 is a wasteful number, since it uses less digits than its factorization.

3003321300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44636 (or 44631 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3003321300012 its reverse (2100031233003), we get a palindrome (5103352533015).

The spelling of 3003321300012 in words is "three trillion, three billion, three hundred twenty-one million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 239 396 478 717 727 956 1434 1454 2151 2181 2629 2868 2908 4302 4362 5258 6543 7887 7997 8604 8724 10516 13086 15774 15994 23661 23991 26172 31548 31988 43649 47322 47982 71973 87298 94644 95964 130947 143946 173753 174596 261894 287892 347506 392841 480139 521259 523788 695012 785682 960278 1042518 1440417 1563777 1571364 1911283 1920556 2085036 2880834 3127554 3822566 4321251 5733849 5761668 6255108 7645132 8642502 10432111 11467698 17201547 17285004 20864222 22935396 31296333 31732823 34403094 41728444 62592666 63465646 68806188 93888999 95198469 114753221 125185332 126931292 187777998 190396938 229506442 285595407 344259663 349061053 375555996 380793876 459012884 571190814 688519326 698122106 1032778989 1047183159 1142381628 1377038652 1396244212 2065557978 2094366318 3141549477 4131115956 4188732636 6283098954 7584144697 12566197908 15168289394 22752434091 30336578788 45504868182 68257302273 83425591667 91009736364 136514604546 166851183334 250276775001 273029209092 333702366668 500553550002 750830325003 1001107100004 1501660650006 3003321300012