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404014525100201 is a prime number
BaseRepresentation
bin101101111011100101111011…
…0010000001011000010101001
31221222111102002220111100201002
41123313023312100023002221
5410423333221411201301
63551133413252204345
7151046041364151401
oct13367136620130251
91858442086440632
10404014525100201
11107805663867004
123939087b0096b5
1314458538688122
1471aa59baab801
1531a952939216b
hex16f72f640b0a9

404014525100201 has 2 divisors, whose sum is σ = 404014525100202. Its totient is φ = 404014525100200.

The previous prime is 404014525100107. The next prime is 404014525100227. The reversal of 404014525100201 is 102001525410404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394614291739801 + 9400233360400 = 19864901^2 + 3065980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404014525100201 is a prime.

It is not a weakly prime, because it can be changed into another prime (404014525100231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202007262550100 + 202007262550101.

It is an arithmetic number, because the mean of its divisors is an integer number (202007262550101).

Almost surely, 2404014525100201 is an apocalyptic number.

It is an amenable number.

404014525100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

404014525100201 is an equidigital number, since it uses as much as digits as its factorization.

404014525100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 404014525100201 in words is "four hundred four trillion, fourteen billion, five hundred twenty-five million, one hundred thousand, two hundred one".