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11113144152 = 23311271155333
BaseRepresentation
bin10100101100110010…
…10001111101011000
31001200111100012211120
422112121101331120
5140224431103102
65034425125240
7542252111115
oct122631217530
931614305746
1011113144152
114793097760
1221a1929820
1310814c0b56
14775d2390c
1545098d6bc
hex296651f58

11113144152 has 64 divisors (see below), whose sum is σ = 30420610560. Its totient is φ = 3355171200.

The previous prime is 11113144093. The next prime is 11113144183. The reversal of 11113144152 is 25144131111.

11113144152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111131441523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 6123 + ... + 149210.

It is an arithmetic number, because the mean of its divisors is an integer number (475322040).

Almost surely, 211113144152 is an apocalyptic number.

11113144152 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 11113144152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210305280).

11113144152 is an abundant number, since it is smaller than the sum of its proper divisors (19307466408).

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

11113144152 is a wasteful number, since it uses less digits than its factorization.

11113144152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155624 (or 155620 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

Adding to 11113144152 its reverse (25144131111), we get a palindrome (36257275263).

The spelling of 11113144152 in words is "eleven billion, one hundred thirteen million, one hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 813 1084 1626 2168 2981 3252 5962 6504 8943 11924 17886 23848 35772 71544 155333 310666 465999 621332 931998 1242664 1708663 1863996 3417326 3727992 5125989 6834652 10251978 13669304 20503956 41007912 42095243 84190486 126285729 168380972 252571458 336761944 463047673 505142916 926095346 1010285832 1389143019 1852190692 2778286038 3704381384 5556572076 11113144152