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11122103412 = 2233727154287
BaseRepresentation
bin10100101101110110…
…11101010001110100
31001201010012101122000
422112323131101310
5140234224302122
65035345135300
7542421214320
oct122673352164
931633171560
1011122103412
114798156a02
1221a492a530
131083309aa4
147771b6980
1545165d0ac
hex296edd474

11122103412 has 96 divisors (see below), whose sum is σ = 33076592640. Its totient is φ = 3165959520.

The previous prime is 11122103407. The next prime is 11122103417. The reversal of 11122103412 is 21430122111.

11122103412 is a `hidden beast` number, since 1 + 112 + 210 + 341 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11122103407) and next prime (11122103417).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122103417) 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 31 ways as a sum of consecutive naturals, for example, 177733 + ... + 232019.

It is an arithmetic number, because the mean of its divisors is an integer number (344547840).

Almost surely, 211122103412 is an apocalyptic number.

11122103412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122103412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538296320).

11122103412 is an abundant number, since it is smaller than the sum of its proper divisors (21954489228).

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

11122103412 is a wasteful number, since it uses less digits than its factorization.

11122103412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54578 (or 54570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11122103412 its reverse (21430122111), we get a palindrome (32552225523).

The spelling of 11122103412 in words is "eleven billion, one hundred twenty-two million, one hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 271 378 542 756 813 1084 1626 1897 2439 3252 3794 4878 5691 7317 7588 9756 11382 14634 17073 22764 29268 34146 51219 54287 68292 102438 108574 162861 204876 217148 325722 380009 488583 651444 760018 977166 1140027 1465749 1520036 1954332 2280054 2931498 3420081 4560108 5862996 6840162 10260243 13680324 14711777 20520486 29423554 41040972 44135331 58847108 88270662 102982439 132405993 176541324 205964878 264811986 308947317 397217979 411929756 529623972 617894634 794435958 926841951 1235789268 1588871916 1853683902 2780525853 3707367804 5561051706 11122103412