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1001100069 = 32388128661
BaseRepresentation
bin111011101010111…
…001001100100101
32120202202011010100
4323222321030211
54022240200234
6243201014313
733544132044
oct7352711445
92522664110
101001100069
11474105332
1223b324399
1312c533b08
1496d5655b
155cd4c399
hex3bab9325

1001100069 has 12 divisors (see below), whose sum is σ = 1446456492. Its totient is φ = 667204800.

The previous prime is 1001100059. The next prime is 1001100073. The reversal of 1001100069 is 9600011001.

It can be written as a sum of positive squares in 2 ways, for example, as 859251969 + 141848100 = 29313^2 + 11910^2 .

It is not a de Polignac number, because 1001100069 - 29 = 1001099557 is a prime.

It is a super-2 number, since 2×10011000692 = 2004402696303609522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100049) 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 11 ways as a sum of consecutive naturals, for example, 20599 + ... + 49259.

It is an arithmetic number, because the mean of its divisors is an integer number (120538041).

Almost surely, 21001100069 is an apocalyptic number.

It is an amenable number.

1001100069 is a deficient number, since it is larger than the sum of its proper divisors (445356423).

1001100069 is a wasteful number, since it uses less digits than its factorization.

1001100069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32548 (or 32545 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1001100069 is about 31640.1654388848. The cubic root of 1001100069 is about 1000.3665552875.

The spelling of 1001100069 in words is "one billion, one million, one hundred thousand, sixty-nine".

Divisors: 1 3 9 3881 11643 28661 34929 85983 257949 111233341 333700023 1001100069