Search a number
-
+
11110022122101 = 372677933234297
BaseRepresentation
bin1010000110101100000011…
…1011000000101001110101
31110100002220112200120111120
42201223000323000221311
52424011311130401401
635343512415254153
72224446463611600
oct241530073005165
943302815616446
1011110022122101
1135a3808939751
1212b5243b1a359
13627894398256
142a5a29677337
15143ee56c1836
hexa1ac0ec0a75

11110022122101 has 96 divisors (see below), whose sum is σ = 17719896176640. Its totient is φ = 6171371990784.

The previous prime is 11110022122099. The next prime is 11110022122117. The reversal of 11110022122101 is 10122122001111.

It is a happy number.

It is not a de Polignac number, because 11110022122101 - 21 = 11110022122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110022122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585527785 + ... + 2585532081.

It is an arithmetic number, because the mean of its divisors is an integer number (184582251840).

Almost surely, 211110022122101 is an apocalyptic number.

It is an amenable number.

11110022122101 is a deficient number, since it is larger than the sum of its proper divisors (6609874054539).

11110022122101 is a wasteful number, since it uses less digits than its factorization.

11110022122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11110022122101 its reverse (10122122001111), we get a palindrome (21232144123212).

The spelling of 11110022122101 in words is "eleven trillion, one hundred ten billion, twenty-two million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 21 49 67 79 147 201 237 469 553 1407 1659 3283 3323 3871 4297 5293 9849 9969 11613 12891 15879 23261 30079 37051 69783 90237 111153 162827 210553 222641 259357 262517 287899 339463 488481 631659 667923 778071 787551 863697 1018389 1558487 1837619 2015293 2376241 4675461 5512857 6045879 7128723 10909409 12863333 14107051 14278931 16633687 17588639 22744021 32728227 38589999 42321153 42836793 49901061 52765917 68232063 99952517 123120473 159208147 299857551 369361419 477624441 699667619 861843311 956688377 1114457029 1128035549 2099002857 2585529933 2870065131 3343371087 3384106647 6696818639 7896248843 20090455917 23688746529 46877730473 55273741901 75578381783 140633191419 165821225703 226735145349 529048672481 1587146017443 3703340707367 11110022122101