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20123113013106 = 234110716328116691
BaseRepresentation
bin1001001001101010001110…
…00000001011111101110010
32122020202021100022120022220
410210311013000023331302
510114144113412404411
6110444232553141510
74144563333251145
oct444650700137562
978222240276286
1020123113013106
116459189761a64
12230bbb19ba896
13b2c7a840129c
144d7d6cbc805c
1524d6ad2a5b06
hex124d4700bf72

20123113013106 has 128 divisors (see below), whose sum is σ = 42019959002112. Its totient is φ = 6419855232000.

The previous prime is 20123113013099. The next prime is 20123113013149. The reversal of 20123113013106 is 60131031132102.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205618221 + ... + 1205634911.

It is an arithmetic number, because the mean of its divisors is an integer number (328280929704).

Almost surely, 220123113013106 is an apocalyptic number.

20123113013106 is an abundant number, since it is smaller than the sum of its proper divisors (21896845989006).

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

20123113013106 is a wasteful number, since it uses less digits than its factorization.

20123113013106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17288.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 20123113013106 its reverse (60131031132102), we get a palindrome (80254144145208).

The spelling of 20123113013106 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirteen million, thirteen thousand, one hundred six".

Divisors: 1 2 3 6 41 82 107 123 163 214 246 281 321 326 489 562 642 843 978 1686 4387 6683 8774 11521 13161 13366 16691 17441 20049 23042 26322 30067 33382 34563 34882 40098 45803 50073 52323 60134 69126 90201 91606 100146 104646 137409 180402 274818 684331 715081 1232747 1368662 1430162 1785937 1877923 2052993 2145243 2465494 2720633 3571874 3698241 3755846 4105986 4290486 4690171 4900921 5357811 5441266 5633769 7396482 8161899 9380342 9801842 10715622 11267538 14070513 14702763 16323798 28141026 29405526 73223417 111545953 146446834 192297011 200937761 219670251 223091906 291107731 334637859 384594022 401875522 439340502 501848297 576891033 582215462 602813283 669275718 764497873 873323193 1003696594 1153782066 1205626566 1505544891 1528995746 1746646386 2293493619 3011089782 4586987238 11935416971 20575780177 23870833942 31344412793 35806250913 41151560354 61727340531 62688825586 71612501826 81801272411 94033238379 123454681062 163602544822 188066476758 245403817233 490807634466 3353852168851 6707704337702 10061556506553 20123113013106