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11230422121224 = 2332418942745433
BaseRepresentation
bin1010001101101100100101…
…0100100011101100001000
31110202121200102112020122100
42203123021110203230020
52432444401030334344
635515103521153400
72236241220663315
oct243331124435410
943677612466570
1011230422121224
11363a882569059
12131464578b860
136360413c3697
142ab7abb83d0c
151471e083a569
hexa36c9523b08

11230422121224 has 96 divisors (see below), whose sum is σ = 31507659401400. Its totient is φ = 3611134095360.

The previous prime is 11230422121169. The next prime is 11230422121231. The reversal of 11230422121224 is 42212122403211.

11230422121224 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 422 + 1 + 212 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2060608572324 + 9169813548900 = 1435482^2 + 3028170^2 .

It is a super-3 number, since 3×112304221212243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21109989 + ... + 21635444.

Almost surely, 211230422121224 is an apocalyptic number.

It is an amenable number.

11230422121224 is an abundant number, since it is smaller than the sum of its proper divisors (20277237280176).

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

11230422121224 is a wasteful number, since it uses less digits than its factorization.

11230422121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42745575 (or 42745568 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11230422121224 its reverse (42212122403211), we get a palindrome (53442544524435).

The spelling of 11230422121224 in words is "eleven trillion, two hundred thirty billion, four hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 89 123 164 178 246 267 328 356 369 492 534 712 738 801 984 1068 1476 1602 2136 2952 3204 3649 6408 7298 10947 14596 21894 29192 32841 43788 65682 87576 131364 262728 42745433 85490866 128236299 170981732 256472598 341963464 384708897 512945196 769417794 1025890392 1538835588 1752562753 3077671176 3505125506 3804343537 5257688259 7010251012 7608687074 10515376518 11413030611 14020502024 15217374148 15773064777 21030753036 22826061222 30434748296 31546129554 34239091833 42061506072 45652122444 63092259108 68478183666 91304244888 126184518216 136956367332 155978085017 273912734664 311956170034 467934255051 623912340068 935868510102 1247824680136 1403802765153 1871737020204 2807605530306 3743474040408 5615211060612 11230422121224