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404115121 is a prime number
BaseRepresentation
bin11000000101100…
…100111010110001
31001011102011201201
4120011210322301
51311423140441
6104033331201
713004631124
oct3005447261
91034364651
10404115121
11198126743
12b3406b01
1365952697
143b9563bb
1525727c31
hex18164eb1

404115121 has 2 divisors, whose sum is σ = 404115122. Its totient is φ = 404115120.

The previous prime is 404115113. The next prime is 404115137. The reversal of 404115121 is 121511404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204175521 + 199939600 = 14289^2 + 14140^2 .

It is a cyclic number.

It is not a de Polignac number, because 404115121 - 23 = 404115113 is a prime.

It is not a weakly prime, because it can be changed into another prime (404115521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202057560 + 202057561.

It is an arithmetic number, because the mean of its divisors is an integer number (202057561).

Almost surely, 2404115121 is an apocalyptic number.

It is an amenable number.

404115121 is a deficient number, since it is larger than the sum of its proper divisors (1).

404115121 is an equidigital number, since it uses as much as digits as its factorization.

404115121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 404115121 is about 20102.6147801723. The cubic root of 404115121 is about 739.3243900609.

Adding to 404115121 its reverse (121511404), we get a palindrome (525626525).

The spelling of 404115121 in words is "four hundred four million, one hundred fifteen thousand, one hundred twenty-one".