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30864300012 = 223271379711821
BaseRepresentation
bin11100101111101001…
…111101011111101100
32221122222121220002200
4130233221331133230
51001202230100022
622102345021500
72141563135650
oct345751753754
987588556080
1030864300012
11120a9102467
125b94484890
132bab46c220
1416cb150a60
15c09952bac
hex72fa7d7ec

30864300012 has 144 divisors (see below), whose sum is σ = 96150879552. Its totient is φ = 8129134080.

The previous prime is 30864299993. The next prime is 30864300013. The reversal of 30864300012 is 21000346803.

It is a happy number.

30864300012 is a `hidden beast` number, since 3 + 0 + 8 + 643 + 0 + 0 + 0 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (30864300013) 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, 2605062 + ... + 2616882.

Almost surely, 230864300012 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 30864300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48075439776).

30864300012 is an abundant number, since it is smaller than the sum of its proper divisors (65286579540).

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

30864300012 is a wasteful number, since it uses less digits than its factorization.

30864300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 30864300012 its reverse (21000346803), we get a palindrome (51864646815).

The spelling of 30864300012 in words is "thirty billion, eight hundred sixty-four million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 797 819 1092 1594 1638 2391 3188 3276 4782 5579 7173 9564 10361 11158 11821 14346 16737 20722 22316 23642 28692 31083 33474 35463 41444 47284 50211 62166 66948 70926 72527 82747 93249 100422 106389 124332 141852 145054 153673 165494 186498 200844 212778 217581 248241 290108 307346 330988 372996 425556 435162 461019 496482 614692 652743 744723 870324 922038 992964 1075711 1305486 1383057 1489446 1844076 2151422 2610972 2766114 2978892 3227133 4302844 5532228 6454266 9421337 9681399 12908532 18842674 19362798 28264011 37685348 38725596 56528022 65949359 84792033 113056044 122477381 131898718 169584066 197848077 244954762 263797436 339168132 367432143 395696154 489909524 593544231 734864286 791392308 857341667 1102296429 1187088462 1469728572 1714683334 2204592858 2374176924 2572025001 3429366668 4409185716 5144050002 7716075003 10288100004 15432150006 30864300012