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404100134401 is a prime number
BaseRepresentation
bin1011110000101100011…
…11101011011000000001
31102122001102200210000111
411320112033223120001
523110044113300101
6505350244151321
741123656316425
oct5702617533001
91378042623014
10404100134401
11146417a9a027
1266398398541
132c14cc1c782
14157b6940b85
15a7a184d251
hex5e163eb601

404100134401 has 2 divisors, whose sum is σ = 404100134402. Its totient is φ = 404100134400.

The previous prime is 404100134381. The next prime is 404100134407. The reversal of 404100134401 is 104431001404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272693884401 + 131406250000 = 522201^2 + 362500^2 .

It is a cyclic number.

It is not a de Polignac number, because 404100134401 - 25 = 404100134369 is a prime.

It is not a weakly prime, because it can be changed into another prime (404100134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202050067200 + 202050067201.

It is an arithmetic number, because the mean of its divisors is an integer number (202050067201).

Almost surely, 2404100134401 is an apocalyptic number.

It is an amenable number.

404100134401 is a deficient number, since it is larger than the sum of its proper divisors (1).

404100134401 is an equidigital number, since it uses as much as digits as its factorization.

404100134401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 404100134401 its reverse (104431001404), we get a palindrome (508531135805).

The spelling of 404100134401 in words is "four hundred four billion, one hundred million, one hundred thirty-four thousand, four hundred one".