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311442401 is a prime number
BaseRepresentation
bin10010100100000…
…011101111100001
3210201000220122202
4102210003233201
51114212124101
650523142545
710501134224
oct2244035741
9721026582
10311442401
1114a88a316
1288374a55
134c6a605a
142d5115bb
151c51e36b
hex12903be1

311442401 has 2 divisors, whose sum is σ = 311442402. Its totient is φ = 311442400.

The previous prime is 311442389. The next prime is 311442403. The reversal of 311442401 is 104244113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208947025 + 102495376 = 14455^2 + 10124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311442401 is a prime.

Together with 311442403, 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 (311442403) 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, 155721200 + 155721201.

It is an arithmetic number, because the mean of its divisors is an integer number (155721201).

Almost surely, 2311442401 is an apocalyptic number.

It is an amenable number.

311442401 is a deficient number, since it is larger than the sum of its proper divisors (1).

311442401 is an equidigital number, since it uses as much as digits as its factorization.

311442401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 311442401 is about 17647.7307606389. The cubic root of 311442401 is about 677.8380014858.

Adding to 311442401 its reverse (104244113), we get a palindrome (415686514).

The spelling of 311442401 in words is "three hundred eleven million, four hundred forty-two thousand, four hundred one".