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11231120411433 = 32131729319271729
BaseRepresentation
bin1010001101101111001011…
…1100010100101100101001
31110202200111002111001201200
42203123302330110230221
52433002313311131213
635515301104034413
72236264430233656
oct243336274245451
943680432431650
1011231120411433
11364010074a8aa
1213147bb602a09
13636122c84760
142ab8367d4c2d
15147231cc1273
hexa36f2f14b29

11231120411433 has 48 divisors (see below), whose sum is σ = 18561451119120. Its totient is φ = 6482700951552.

The previous prime is 11231120411429. The next prime is 11231120411509. The reversal of 11231120411433 is 33411402113211.

11231120411433 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 11 + 204 + 11 + 433 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46189316889 + 11184931094544 = 214917^2 + 3344388^2 .

It is not a de Polignac number, because 11231120411433 - 22 = 11231120411429 is a prime.

It is a super-2 number, since 2×112311204114332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11231120411397 and 11231120411406.

It is not an unprimeable number, because it can be changed into a prime (11231120411033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9053088 + ... + 10218641.

It is an arithmetic number, because the mean of its divisors is an integer number (386696898315).

Almost surely, 211231120411433 is an apocalyptic number.

11231120411433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11231120411433 is a deficient number, since it is larger than the sum of its proper divisors (7330330707687).

11231120411433 is a wasteful number, since it uses less digits than its factorization.

11231120411433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272058 (or 19272055 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11231120411433 its reverse (33411402113211), we get a palindrome (44642522524644).

The spelling of 11231120411433 in words is "eleven trillion, two hundred thirty-one billion, one hundred twenty million, four hundred eleven thousand, four hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 293 663 879 1989 2637 3809 4981 11427 14943 34281 44829 64753 194259 582777 19271729 57815187 173445561 250532477 327619393 751597431 982858179 2254792293 2948574537 4259052109 5646616597 12777156327 16939849791 38331468981 50819549373 73406015761 95992482149 220218047283 287977446447 660654141849 863932339341 1247902267937 3743706803811 11231120411433