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420104101 is a prime number
BaseRepresentation
bin11001000010100…
…100011110100101
31002021111111111011
4121002210132211
51330021312401
6105404142221
713260553204
oct3102443645
91067444434
10420104101
111a615747a
12b8837971
1369060211
143db1923b
1526d35451
hex190a47a5

420104101 has 2 divisors, whose sum is σ = 420104102. Its totient is φ = 420104100.

The previous prime is 420104059. The next prime is 420104107. The reversal of 420104101 is 101401024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417384900 + 2719201 = 20430^2 + 1649^2 .

It is a cyclic number.

It is not a de Polignac number, because 420104101 - 227 = 285886373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420104107) 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, 210052050 + 210052051.

It is an arithmetic number, because the mean of its divisors is an integer number (210052051).

Almost surely, 2420104101 is an apocalyptic number.

It is an amenable number.

420104101 is a deficient number, since it is larger than the sum of its proper divisors (1).

420104101 is an equidigital number, since it uses as much as digits as its factorization.

420104101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 420104101 is about 20496.4411788974. The cubic root of 420104101 is about 748.9491065554.

Adding to 420104101 its reverse (101401024), we get a palindrome (521505125).

The spelling of 420104101 in words is "four hundred twenty million, one hundred four thousand, one hundred one".