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314042101 is a prime number
BaseRepresentation
bin10010101101111…
…110011011110101
3210212220222202221
4102231332123311
51120343321401
651055002341
710532212432
oct2255763365
9725828687
10314042101
111512a552a
12892093b1
13500a6439
142d9cab89
151c8847a1
hex12b7e6f5

314042101 has 2 divisors, whose sum is σ = 314042102. Its totient is φ = 314042100.

The previous prime is 314042081. The next prime is 314042123. The reversal of 314042101 is 101240413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237129201 + 76912900 = 15399^2 + 8770^2 .

It is an emirp because it is prime and its reverse (101240413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314042101 - 221 = 311944949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314048101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157021050 + 157021051.

It is an arithmetic number, because the mean of its divisors is an integer number (157021051).

Almost surely, 2314042101 is an apocalyptic number.

It is an amenable number.

314042101 is a deficient number, since it is larger than the sum of its proper divisors (1).

314042101 is an equidigital number, since it uses as much as digits as its factorization.

314042101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 314042101 is about 17721.2330552927. The cubic root of 314042101 is about 679.7188146837.

Adding to 314042101 its reverse (101240413), we get a palindrome (415282514).

The spelling of 314042101 in words is "three hundred fourteen million, forty-two thousand, one hundred one".