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1104144041 = 711131103041
BaseRepresentation
bin100000111001111…
…1110011010101001
32211221122022212202
41001303332122221
54230130102131
6301321345545
736235032560
oct10163763251
92757568782
101104144041
11517295840
122699382b5
131479a1c90
14a68dabd7
1566e03bcb
hex41cfe6a9

1104144041 has 16 divisors (see below), whose sum is σ = 1482488448. Its totient is φ = 794188800.

The previous prime is 1104144037. The next prime is 1104144061. The reversal of 1104144041 is 1404414011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1104144041 - 22 = 1104144037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1104144011) 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 15 ways as a sum of consecutive naturals, for example, 550520 + ... + 552521.

It is an arithmetic number, because the mean of its divisors is an integer number (92655528).

Almost surely, 21104144041 is an apocalyptic number.

1104144041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1104144041 is a deficient number, since it is larger than the sum of its proper divisors (378344407).

1104144041 is a wasteful number, since it uses less digits than its factorization.

1104144041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103072.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1104144041 is about 33228.6629433084. The cubic root of 1104144041 is about 1033.5747973928.

Adding to 1104144041 its reverse (1404414011), we get a palindrome (2508558052).

The spelling of 1104144041 in words is "one billion, one hundred four million, one hundred forty-four thousand, forty-one".

Divisors: 1 7 11 13 77 91 143 1001 1103041 7721287 12133451 14339533 84934157 100376731 157734863 1104144041