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104104133325 = 3252372337973
BaseRepresentation
bin110000011110100010…
…1110000001011001101
3100221201012021220202200
41200331011300023031
53201201124231300
6115454052512113
710343540350533
oct1407505601315
9327635256680
10104104133325
1140172084225
121821431b639
139a80b910ba
145078160153
152a946ce200
hex183d1702cd

104104133325 has 54 divisors (see below), whose sum is σ = 191638355454. Its totient is φ = 54021444480.

The previous prime is 104104133321. The next prime is 104104133377. The reversal of 104104133325 is 523331401401.

It is a happy number.

104104133325 is a `hidden beast` number, since 104 + 104 + 133 + 325 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 9522051561 + 94582081764 = 97581^2 + 307542^2 .

It is not a de Polignac number, because 104104133325 - 22 = 104104133321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104104133321) 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 53 ways as a sum of consecutive naturals, for example, 139039 + ... + 477011.

Almost surely, 2104104133325 is an apocalyptic number.

104104133325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104104133325 is a deficient number, since it is larger than the sum of its proper divisors (87534222129).

104104133325 is a wasteful number, since it uses less digits than its factorization.

104104133325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338063 (or 338018 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 104104133325 its reverse (523331401401), we get a palindrome (627435534726).

The spelling of 104104133325 in words is "one hundred four billion, one hundred four million, one hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1369 1665 2775 4107 6845 8325 12321 20535 34225 61605 102675 308025 337973 1013919 1689865 3041757 5069595 8449325 12505001 15208785 25347975 37515003 62525005 76043925 112545009 187575015 312625025 462685037 562725045 937875075 1388055111 2313425185 2813625225 4164165333 6940275555 11567125925 20820826665 34701377775 104104133325