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11001111021 = 324189457733
BaseRepresentation
bin10100011111011011…
…11010000111101101
31001101200112100021100
422033231322013231
5140012241023041
65015343553313
7536421620655
oct121755720755
931350470240
1011001111021
11473592759a
1221702bb839
131064226264
147650bd365
15445c0d6b6
hex28fb7a1ed

11001111021 has 48 divisors (see below), whose sum is σ = 16519492080. Its totient is φ = 7049687040.

The previous prime is 11001110983. The next prime is 11001111041. The reversal of 11001111021 is 12011110011.

It can be written as a sum of positive squares in 8 ways, for example, as 62252100 + 10938858921 = 7890^2 + 104589^2 .

It is not a de Polignac number, because 11001111021 - 218 = 11000848877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001110994 and 11001111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15007971 + ... + 15008703.

It is an arithmetic number, because the mean of its divisors is an integer number (344156085).

Almost surely, 211001111021 is an apocalyptic number.

It is an amenable number.

11001111021 is a deficient number, since it is larger than the sum of its proper divisors (5518381059).

11001111021 is a wasteful number, since it uses less digits than its factorization.

11001111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11001111021 its reverse (12011110011), we get a palindrome (23012221032).

The spelling of 11001111021 in words is "eleven billion, one million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 41 89 123 267 369 457 733 801 1371 2199 3649 4113 6597 10947 18737 30053 32841 40673 56211 65237 90159 122019 168633 195711 270477 334981 366057 587133 1004943 1667593 2674717 3014829 5002779 8024151 13734221 15008337 24072453 29813309 41202663 89439927 123607989 268319781 1222345669 3667037007 11001111021