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11110012122132 = 22327211572562983
BaseRepresentation
bin1010000110101100000001…
…0100110111010000010100
31110100002212211212112010100
42201223000110313100110
52424011301100402012
635343511421054100
72224446312612300
oct241530024672024
943302784775110
1011110012122132
1135a3803229610
1212b52406b7330
136278922a6701
142a5a281d2d00
15143ee48988dc
hexa1ac0537414

11110012122132 has 108 divisors (see below), whose sum is σ = 35638610376096. Its totient is φ = 2885717429280.

The previous prime is 11110012122113. The next prime is 11110012122151. The reversal of 11110012122132 is 23122121001111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11110012122113) and next prime (11110012122151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 286262088 + ... + 286300895.

It is an arithmetic number, because the mean of its divisors is an integer number (329987133112).

Almost surely, 211110012122132 is an apocalyptic number.

11110012122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11110012122132 is an abundant number, since it is smaller than the sum of its proper divisors (24528598253964).

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

11110012122132 is a wasteful number, since it uses less digits than its factorization.

11110012122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572563018 (or 572563006 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11110012122132 its reverse (23122121001111), we get a palindrome (34232133123243).

The spelling of 11110012122132 in words is "eleven trillion, one hundred ten billion, twelve million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 572562983 1145125966 1717688949 2290251932 3435377898 4007940881 5153066847 6298192813 6870755796 8015881762 10306133694 12023822643 12596385626 16031763524 18894578439 20612267388 24047645286 25192771252 28055586167 36071467929 37789156878 44087349691 48095290572 56111172334 56683735317 72142935858 75578313756 84166758501 88174699382 112222344668 113367470634 132262049073 144285871716 168333517002 176349398764 226734941268 252500275503 264524098146 308611447837 336667034004 396786147219 505000551006 529048196292 617222895674 793572294438 925834343511 1010001102012 1234445791348 1587144588876 1851668687022 2777503030533 3703337374044 5555006061066 11110012122132