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11110001122122 = 23721911847107119
BaseRepresentation
bin1010000110101011111110…
…1010111001101101001010
31110100002212002011122221120
42201222333222321231022
52424011240241401442
635343510345220110
72224446120246300
oct241527752715512
943302762148846
1011110001122122
1135a37a7aa60a1
1212b5238a91636
1362788cc24926
142a5a2696c270
15143ee39244ec
hexa1abfab9b4a

11110001122122 has 96 divisors (see below), whose sum is σ = 25997396705280. Its totient is φ = 3155927654880.

The previous prime is 11110001122069. The next prime is 11110001122123. The reversal of 11110001122122 is 22122110001111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11110001122123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103662879 + ... + 103769997.

It is an arithmetic number, because the mean of its divisors is an integer number (270806215680).

Almost surely, 211110001122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110001122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12998698352640).

11110001122122 is an abundant number, since it is smaller than the sum of its proper divisors (14887395583158).

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

11110001122122 is a wasteful number, since it uses less digits than its factorization.

11110001122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109176 (or 109169 counting only the distinct ones).

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

Adding to 11110001122122 its reverse (22122110001111), we get a palindrome (33232111123233).

The spelling of 11110001122122 in words is "eleven trillion, one hundred ten billion, one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 191 294 382 573 1146 1337 1847 2674 3694 4011 5541 8022 9359 11082 12929 18718 25858 28077 38787 56154 77574 90503 107119 181006 214238 271509 321357 352777 543018 642714 705554 749833 1058331 1499666 2116662 2249499 2469439 4498998 4938878 5248831 7408317 10497662 14816634 15746493 17286073 20459729 31492986 34572146 40919458 51858219 61379187 103716438 122758374 143218103 197848793 286436206 395697586 429654309 593546379 859308618 1002526721 1187092758 1384941551 2005053442 2769883102 3007580163 4154824653 6015160326 8309649306 9694590857 19389181714 29083772571 37789119463 58167545142 75578238926 113367358389 226734716778 264523836241 529047672482 793571508723 1587143017446 1851666853687 3703333707374 5555000561061 11110001122122