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22122001101104 = 2429671375194109
BaseRepresentation
bin1010000011110101011100…
…00001000111000100110000
32220022211202021220102202222
411001322232001013010300
510344421324240213404
6115014412414100212
74442155544541242
oct501725601070460
986284667812688
1022122001101104
1170599849a1903
1225934854aa668
13c461324a3a58
145669d3b18092
1528569d847dbe
hex141eae047130

22122001101104 has 80 divisors (see below), whose sum is σ = 45329621263200. Its totient is φ = 10443398203392.

The previous prime is 22122001100989. The next prime is 22122001101107. The reversal of 22122001101104 is 40110110022122.

It is not an unprimeable number, because it can be changed into a prime (22122001101107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662002 + ... + 6856110.

It is an arithmetic number, because the mean of its divisors is an integer number (566620265790).

Almost surely, 222122001101104 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 22122001101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664810631600).

22122001101104 is an abundant number, since it is smaller than the sum of its proper divisors (23207620162096).

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

22122001101104 is a wasteful number, since it uses less digits than its factorization.

22122001101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194350 (or 5194344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22122001101104 its reverse (40110110022122), we get a palindrome (62232111123226).

The spelling of 22122001101104 in words is "twenty-two trillion, one hundred twenty-two billion, one million, one hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 67 116 134 137 232 268 274 464 536 548 1072 1096 1943 2192 3886 3973 7772 7946 9179 15544 15892 18358 31088 31784 36716 63568 73432 146864 266191 532382 1064764 2129528 4259056 5194109 10388218 20776436 41552872 83105744 150629161 301258322 348005303 602516644 696010606 711592933 1205033288 1392021212 1423185866 2410066576 2784042424 2846371732 5568084848 5692743464 10092153787 11385486928 20184307574 20636195057 40368615148 41272390114 47676726511 80737230296 82544780228 95353453022 161474460592 165089560456 190706906044 330179120912 381413812088 762827624176 1382625068819 2765250137638 5530500275276 11061000550552 22122001101104