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314444101 is a prime number
BaseRepresentation
bin10010101111100…
…000100101000101
3210220200102012211
4102233200211011
51120444202401
651111343421
710535505436
oct2257404505
9726612184
10314444101
1115154a564
1289381b71
13501b73ca
142da9348d
151c913951
hex12be0945

314444101 has 2 divisors, whose sum is σ = 314444102. Its totient is φ = 314444100.

The previous prime is 314444059. The next prime is 314444107. The reversal of 314444101 is 101444413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287133025 + 27311076 = 16945^2 + 5226^2 .

It is a cyclic number.

It is not a de Polignac number, because 314444101 - 27 = 314443973 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314444107) 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, 157222050 + 157222051.

It is an arithmetic number, because the mean of its divisors is an integer number (157222051).

Almost surely, 2314444101 is an apocalyptic number.

It is an amenable number.

314444101 is a deficient number, since it is larger than the sum of its proper divisors (1).

314444101 is an equidigital number, since it uses as much as digits as its factorization.

314444101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 314444101 is about 17732.5717536966. The cubic root of 314444101 is about 680.0087232157.

Adding to 314444101 its reverse (101444413), we get a palindrome (415888514).

The spelling of 314444101 in words is "three hundred fourteen million, four hundred forty-four thousand, one hundred one".