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314032001 is a prime number
BaseRepresentation
bin10010101101111…
…011111110000001
3210212220110220212
4102231323332001
51120343011001
651054443505
710532141123
oct2255737601
9725813825
10314032001
11151298988
1289203595
13500a196a
142d9c7213
151c8817bb
hex12b7bf81

314032001 has 2 divisors, whose sum is σ = 314032002. Its totient is φ = 314032000.

The previous prime is 314031989. The next prime is 314032003. The reversal of 314032001 is 100230413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174768400 + 139263601 = 13220^2 + 11801^2 .

It is a cyclic number.

It is not a de Polignac number, because 314032001 - 26 = 314031937 is a prime.

Together with 314032003, 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 (314032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157016000 + 157016001.

It is an arithmetic number, because the mean of its divisors is an integer number (157016001).

Almost surely, 2314032001 is an apocalyptic number.

It is an amenable number.

314032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

314032001 is an equidigital number, since it uses as much as digits as its factorization.

314032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 314032001 is about 17720.9480841178. The cubic root of 314032001 is about 679.7115277270.

Adding to 314032001 its reverse (100230413), we get a palindrome (414262414).

The spelling of 314032001 in words is "three hundred fourteen million, thirty-two thousand, one".