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217022681040108 = 223194324481904217
BaseRepresentation
bin110001010110000110000111…
…110011111100010011101100
31001110102011110210012111122120
4301112012013303330103230
5211421144422321240413
62045322502053312540
763466241230624566
oct6126060763742354
91043364423174576
10217022681040108
116317189074a859
1220410548935750
1394131c69c61c8
143b83d4d36a336
151a153d09d9723
hexc56187cfc4ec

217022681040108 has 96 divisors (see below), whose sum is σ = 545457283472640. Its totient is φ = 66936868024320.

The previous prime is 217022681040103. The next prime is 217022681040133. The reversal of 217022681040108 is 801040186220712.

It is a self number, because there is not a number n which added to its sum of digits gives 217022681040108.

It is not an unprimeable number, because it can be changed into a prime (217022681040101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239559616 + ... + 240463832.

It is an arithmetic number, because the mean of its divisors is an integer number (5681846702840).

Almost surely, 2217022681040108 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 217022681040108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272728641736320).

217022681040108 is an abundant number, since it is smaller than the sum of its proper divisors (328434602432532).

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

217022681040108 is a wasteful number, since it uses less digits than its factorization.

217022681040108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928767 (or 928765 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 217022681040108 in words is "two hundred seventeen trillion, twenty-two billion, six hundred eighty-one million, forty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 9804 24481 48962 73443 97924 146886 293772 465139 904217 930278 1052683 1395417 1808434 1860556 2105366 2712651 2790834 3158049 3616868 4210732 5425302 5581668 6316098 10850604 12632196 17180123 20000977 34360246 38881331 40001954 51540369 60002931 68720492 77762662 80003908 103080738 116643993 120005862 155525324 206161476 233287986 240011724 466575972 738745289 1477490578 2216235867 2954981156 4432471734 8864943468 22136136377 44272272754 66408409131 88544545508 132816818262 265633636524 420586591163 841173182326 951853864211 1261759773489 1682346364652 1903707728422 2523519546978 2855561592633 3807415456844 5047039093956 5711123185266 11422246370532 18085223420009 36170446840018 54255670260027 72340893680036 108511340520054 217022681040108