Search a number
-
+
312920029 is a prime number
BaseRepresentation
bin10010101001101…
…100011111011101
3210210210222120201
4102221230133131
51120101420104
651014543501
710516530202
oct2251543735
9723728521
10312920029
111506a94a4
1288967b91
134caa27a6
142d7b7ca9
151c7120a4
hex12a6c7dd

312920029 has 2 divisors, whose sum is σ = 312920030. Its totient is φ = 312920028.

The previous prime is 312920021. The next prime is 312920039. The reversal of 312920029 is 920029213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198387225 + 114532804 = 14085^2 + 10702^2 .

It is a cyclic number.

It is not a de Polignac number, because 312920029 - 23 = 312920021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312919979 and 312920006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312920021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156460014 + 156460015.

It is an arithmetic number, because the mean of its divisors is an integer number (156460015).

Almost surely, 2312920029 is an apocalyptic number.

It is an amenable number.

312920029 is a deficient number, since it is larger than the sum of its proper divisors (1).

312920029 is an equidigital number, since it uses as much as digits as its factorization.

312920029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 312920029 is about 17689.5457544845. The cubic root of 312920029 is about 678.9083037975.

The spelling of 312920029 in words is "three hundred twelve million, nine hundred twenty thousand, twenty-nine".