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420146401 is a prime number
BaseRepresentation
bin11001000010101…
…110110011100001
31002021120122111211
4121002232303201
51330024141101
6105405110121
713261120423
oct3102566341
91067518454
10420146401
111a6186234
12b8858341
136907654c
143db2a813
1526d42c51
hex190aece1

420146401 has 2 divisors, whose sum is σ = 420146402. Its totient is φ = 420146400.

The previous prime is 420146399. The next prime is 420146413. The reversal of 420146401 is 104641024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404975376 + 15171025 = 20124^2 + 3895^2 .

It is a cyclic number.

It is not a de Polignac number, because 420146401 - 21 = 420146399 is a prime.

Together with 420146399, it forms a pair of twin primes.

It is equal to p22351810 and since 420146401 and 22351810 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (420146491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210073200 + 210073201.

It is an arithmetic number, because the mean of its divisors is an integer number (210073201).

Almost surely, 2420146401 is an apocalyptic number.

It is an amenable number.

420146401 is a deficient number, since it is larger than the sum of its proper divisors (1).

420146401 is an equidigital number, since it uses as much as digits as its factorization.

420146401 is an evil number, because the sum of its binary digits is even.

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

The square root of 420146401 is about 20497.4730393773. The cubic root of 420146401 is about 748.9742427728.

Adding to 420146401 its reverse (104641024), we get a palindrome (524787425).

The spelling of 420146401 in words is "four hundred twenty million, one hundred forty-six thousand, four hundred one".