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21213988006212 = 223243103174776159
BaseRepresentation
bin1001101001011010001000…
…01110000010100101000100
32210010001000022001221211100
410310231010032002211010
510240032221412144322
6113041323242140100
74316442253561101
oct464550416024504
983101008057740
1021213988006212
116839890200241
1224674b57b1630
13bab61686b3a1
14534a96419aa8
1526bc57ad5dac
hex134b44382944

21213988006212 has 144 divisors (see below), whose sum is σ = 55436495994880. Its totient is φ = 6835817790144.

The previous prime is 21213988006207. The next prime is 21213988006231. The reversal of 21213988006212 is 21260088931212.

21213988006212 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 9 + 8 + 8 + 0 + 0 + 621 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 278510589 + ... + 278586747.

Almost surely, 221213988006212 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 21213988006212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27718247997440).

21213988006212 is an abundant number, since it is smaller than the sum of its proper divisors (34222507988668).

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

21213988006212 is a wasteful number, since it uses less digits than its factorization.

21213988006212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78062 (or 78057 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21213988006212 in words is "twenty-one trillion, two hundred thirteen billion, nine hundred eighty-eight million, six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 103 129 172 206 258 309 387 412 516 618 774 927 1236 1548 1747 1854 3494 3708 4429 5241 6988 8858 10482 13287 15723 17716 20964 26574 31446 39861 53148 62892 75121 76159 79722 150242 152318 159444 179941 225363 228477 300484 304636 359882 450726 456954 539823 676089 685431 719764 901452 913908 1079646 1352178 1370862 1619469 2159292 2704356 2741724 3238938 3274837 6477876 6549674 7737463 7844377 9824511 13099348 15474926 15688754 19649022 23212389 23533131 29473533 30949852 31377508 39298044 46424778 47066262 58947066 69637167 70599393 92849556 94132524 117894132 133049773 139274334 141198786 266099546 278548668 282397572 337308211 399149319 532199092 674616422 798298638 1011924633 1197447957 1349232844 1596597276 2023849266 2394895914 3035773899 4047698532 4789791828 5721140239 6071547798 11442280478 12143095596 13704126619 17163420717 22884560956 27408253238 34326841434 41112379857 51490262151 54816506476 68653682868 82224759714 102980524302 123337139571 164449519428 205961048604 246674279142 493348558284 589277444617 1178554889234 1767832333851 2357109778468 3535664667702 5303497001553 7071329335404 10606994003106 21213988006212