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13114134220122 = 2321325989820991
BaseRepresentation
bin1011111011010101111101…
…0011111100110101011010
31201102200212120011122111100
42332311133103330311122
53204330221330020442
643520314453012230
72522315320433625
oct276653723746532
951380776148440
1013114134220122
1141a6744978651
121579735024076
1374187183c300
14334a282dadbc
1517b1de6b884c
hexbed5f4fcd5a

13114134220122 has 144 divisors (see below), whose sum is σ = 31640867481600. Its totient is φ = 3922151650560.

The previous prime is 13114134220079. The next prime is 13114134220129. The reversal of 13114134220122 is 22102243141131.

13114134220122 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 413 + 4 + 220 + 1 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (13114134220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15563047 + ... + 16384037.

It is an arithmetic number, because the mean of its divisors is an integer number (219728246400).

Almost surely, 213114134220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114134220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820433740800).

13114134220122 is an abundant number, since it is smaller than the sum of its proper divisors (18526733261478).

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

13114134220122 is a wasteful number, since it uses less digits than its factorization.

13114134220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821173 (or 821157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13114134220122 its reverse (22102243141131), we get a palindrome (35216377361253).

The spelling of 13114134220122 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 89 117 118 169 177 178 234 267 338 354 507 531 534 767 801 1014 1062 1157 1521 1534 1602 2301 2314 3042 3471 4602 5251 6903 6942 9971 10413 10502 13806 15041 15753 19942 20826 29913 30082 31506 45123 47259 59826 68263 89739 90246 94518 135369 136526 179478 204789 270738 409578 614367 820991 887419 1228734 1641982 1774838 2462973 2662257 4925946 5324514 7388919 7986771 10672883 14777838 15973542 21345766 32018649 48438469 64037298 73068199 96055947 96876938 138747479 145315407 146136398 192111894 219204597 277494958 290630814 416242437 435946221 438409194 629700097 657613791 832484874 871892442 949886587 1248727311 1259400194 1315227582 1889100291 1899773174 2497454622 2849659761 3778200582 4311023741 5667300873 5699319522 8186101261 8548979283 8622047482 11334601746 12348525631 12933071223 16372202522 17097958566 24558303783 24697051262 25866142446 37045576893 38799213669 49116607566 56043308633 73674911349 74091153786 77598427338 111136730679 112086617266 147349822698 168129925899 222273461358 336259851798 504389777697 728563012229 1008779555394 1457126024458 2185689036687 4371378073374 6557067110061 13114134220122