Search a number
-
+
314133109 is a prime number
BaseRepresentation
bin10010101110010…
…100101001110101
3210220002121121121
4102232110221311
51120404224414
651100543541
710533041653
oct2256245165
9726077547
10314133109
11151357944
1289251bb1
13501089a4
142da11dd3
151c8a1724
hex12b94a75

314133109 has 2 divisors, whose sum is σ = 314133110. Its totient is φ = 314133108.

The previous prime is 314133097. The next prime is 314133119. The reversal of 314133109 is 901331413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287404209 + 26728900 = 16953^2 + 5170^2 .

It is a cyclic number.

It is not a de Polignac number, because 314133109 - 25 = 314133077 is a prime.

It is a super-2 number, since 2×3141331092 = 197359220340011762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314133119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157066554 + 157066555.

It is an arithmetic number, because the mean of its divisors is an integer number (157066555).

Almost surely, 2314133109 is an apocalyptic number.

It is an amenable number.

314133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

314133109 is an equidigital number, since it uses as much as digits as its factorization.

314133109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 314133109 is about 17723.8006364324. The cubic root of 314133109 is about 679.7844681689.

The spelling of 314133109 in words is "three hundred fourteen million, one hundred thirty-three thousand, one hundred nine".