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314304441001 is a prime number
BaseRepresentation
bin1001001001011100000…
…00010010101010101001
31010001021102020220212021
410210232000102222221
520122143414103001
6400220042544441
731464520445065
oct4445600225251
91101242226767
10314304441001
11111328732571
1250ab7b08121
132383c531a95
14112d8c26aa5
1582983cbba1
hex492e012aa9

314304441001 has 2 divisors, whose sum is σ = 314304441002. Its totient is φ = 314304441000.

The previous prime is 314304440927. The next prime is 314304441013. The reversal of 314304441001 is 100144403413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247306295401 + 66998145600 = 497299^2 + 258840^2 .

It is an emirp because it is prime and its reverse (100144403413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314304441001 - 27 = 314304440873 is a prime.

It is not a weakly prime, because it can be changed into another prime (314304445001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157152220500 + 157152220501.

It is an arithmetic number, because the mean of its divisors is an integer number (157152220501).

Almost surely, 2314304441001 is an apocalyptic number.

It is an amenable number.

314304441001 is a deficient number, since it is larger than the sum of its proper divisors (1).

314304441001 is an equidigital number, since it uses as much as digits as its factorization.

314304441001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 314304441001 its reverse (100144403413), we get a palindrome (414448844414).

The spelling of 314304441001 in words is "three hundred fourteen billion, three hundred four million, four hundred forty-one thousand, one".