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11113000332 = 2237298295503
BaseRepresentation
bin10100101100110001…
…01110110110001100
31001200111001220112220
422112120232312030
5140224412002312
65034422055340
7542250641610
oct122630566614
931614056486
1011113000332
114792aa96a5
1221a187a550
131081470555
14775cc7340
15450960c8c
hex29662ed8c

11113000332 has 96 divisors (see below), whose sum is σ = 30699110400. Its totient is φ = 3061400832.

The previous prime is 11113000291. The next prime is 11113000333. The reversal of 11113000332 is 23300031111.

11113000332 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-2 number, since 2×111130003322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11113000333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2016693 + ... + 2022195.

It is an arithmetic number, because the mean of its divisors is an integer number (319782400).

Almost surely, 211113000332 is an apocalyptic number.

11113000332 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 11113000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349555200).

11113000332 is an abundant number, since it is smaller than the sum of its proper divisors (19586110068).

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

11113000332 is a wasteful number, since it uses less digits than its factorization.

11113000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11113000332 its reverse (23300031111), we get a palindrome (34413031443).

The spelling of 11113000332 in words is "eleven billion, one hundred thirteen million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 829 1218 1658 2436 2487 3316 4974 5503 5803 9948 11006 11606 16509 17409 22012 23212 24041 33018 34818 38521 48082 66036 69636 72123 77042 96164 115563 144246 154084 159587 168287 231126 288492 319174 336574 462252 478761 504861 638348 673148 957522 1009722 1117109 1915044 2019444 2234218 3351327 4468436 4561987 6702654 9123974 13405308 13685961 18247948 27371922 31933909 54743844 63867818 95801727 127735636 132297623 191603454 264595246 383206908 396892869 529190492 793785738 926083361 1587571476 1852166722 2778250083 3704333444 5556500166 11113000332