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20117030312205 = 32523337145139749
BaseRepresentation
bin1001001001011110111000…
…11100100001100100001101
32122020011120102122100100100
410210233130130201210031
510114044134224442310
6110441345223521313
74144256523200241
oct444573434414415
978204512570310
1020117030312205
116456648185822
12230a9948b9239
13b2c04916a998
144d795300c421
1524d454283ec0
hex124bdc72190d

20117030312205 has 96 divisors (see below), whose sum is σ = 36519623712000. Its totient is φ = 10224839116800.

The previous prime is 20117030312153. The next prime is 20117030312207. The reversal of 20117030312205 is 50221303071102.

20117030312205 is a `hidden beast` number, since 2 + 0 + 117 + 0 + 30 + 312 + 205 = 666.

It is not a de Polignac number, because 20117030312205 - 219 = 20117029787917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117030312207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506081671 + ... + 506121419.

It is an arithmetic number, because the mean of its divisors is an integer number (380412747000).

Almost surely, 220117030312205 is an apocalyptic number.

It is an amenable number.

20117030312205 is a deficient number, since it is larger than the sum of its proper divisors (16402593399795).

20117030312205 is a wasteful number, since it uses less digits than its factorization.

20117030312205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41571 (or 41568 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 20117030312205 its reverse (50221303071102), we get a palindrome (70338333383307).

The spelling of 20117030312205 in words is "twenty trillion, one hundred seventeen billion, thirty million, three hundred twelve thousand, two hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 337 345 1011 1035 1451 1685 3033 4353 5055 7255 7751 13059 15165 21765 23253 33373 38755 39749 65295 69759 100119 116265 119247 166865 198745 300357 348795 357741 488987 500595 596235 914227 1466961 1501785 1788705 2444935 2742681 4400883 4571135 7334805 8228043 11246701 13395413 13713405 22004415 33740103 40186239 41140215 56233505 57675799 66977065 101220309 120558717 168700515 173027397 200931195 288378995 308094499 506101545 519082191 602793585 865136985 924283497 1326543377 1540472495 2595410955 2772850491 3979630131 4621417485 6632716885 11938890393 13864252455 19436744263 19898150655 58310232789 59694451965 97183721315 174930698367 291551163945 447045118049 874653491835 1341135354147 2235225590245 4023406062441 6705676770735 20117030312205