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364131401 is a prime number
BaseRepresentation
bin10101101101000…
…011010001001001
3221101011210101012
4111231003101021
51221204201101
6100044333305
712011031404
oct2555032111
9841153335
10364131401
111775a7347
12a1b44235
135a59338a
1436508d3b
1521e7abbb
hex15b43449

364131401 has 2 divisors, whose sum is σ = 364131402. Its totient is φ = 364131400.

The previous prime is 364131343. The next prime is 364131403. The reversal of 364131401 is 104131463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329604025 + 34527376 = 18155^2 + 5876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-364131401 is a prime.

Together with 364131403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (364131403) 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, 182065700 + 182065701.

It is an arithmetic number, because the mean of its divisors is an integer number (182065701).

Almost surely, 2364131401 is an apocalyptic number.

It is an amenable number.

364131401 is a deficient number, since it is larger than the sum of its proper divisors (1).

364131401 is an equidigital number, since it uses as much as digits as its factorization.

364131401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 364131401 is about 19082.2273595092. The cubic root of 364131401 is about 714.0896043393.

Adding to 364131401 its reverse (104131463), we get a palindrome (468262864).

The spelling of 364131401 in words is "three hundred sixty-four million, one hundred thirty-one thousand, four hundred one".