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414104352301 is a prime number
BaseRepresentation
bin1100000011010101000…
…10101111011000101101
31110120212122101201000101
412001222202233120231
523241041203233201
6514123101231101
741626614626443
oct6015242573055
91416778351011
10414104352301
1114a691125002
126830a862491
1330085755a33
1416085480b93
15ab89c90d01
hex606a8af62d

414104352301 has 2 divisors, whose sum is σ = 414104352302. Its totient is φ = 414104352300.

The previous prime is 414104352283. The next prime is 414104352313. The reversal of 414104352301 is 103253401414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360996688900 + 53107663401 = 600830^2 + 230451^2 .

It is a cyclic number.

It is not a de Polignac number, because 414104352301 - 213 = 414104344109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414104352301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414104356301) 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, 207052176150 + 207052176151.

It is an arithmetic number, because the mean of its divisors is an integer number (207052176151).

Almost surely, 2414104352301 is an apocalyptic number.

It is an amenable number.

414104352301 is a deficient number, since it is larger than the sum of its proper divisors (1).

414104352301 is an equidigital number, since it uses as much as digits as its factorization.

414104352301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 414104352301 its reverse (103253401414), we get a palindrome (517357753715).

The spelling of 414104352301 in words is "four hundred fourteen billion, one hundred four million, three hundred fifty-two thousand, three hundred one".