Search a number
-
+
312983969 is a prime number
BaseRepresentation
bin10010101001111…
…100000110100001
3210210221020021212
4102221330012201
51120110441334
651020155505
710520214464
oct2251740641
9723836255
10312983969
11150742541
1288998b95
134cac591c
142d7d32db
151c725ece
hex12a7c1a1

312983969 has 2 divisors, whose sum is σ = 312983970. Its totient is φ = 312983968.

The previous prime is 312983963. The next prime is 312984019. The reversal of 312983969 is 969389213.

It is an a-pointer prime, because the next prime (312984019) can be obtained adding 312983969 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160782400 + 152201569 = 12680^2 + 12337^2 .

It is a cyclic number.

It is not a de Polignac number, because 312983969 - 212 = 312979873 is a prime.

It is a super-2 number, since 2×3129839692 = 195917929701985922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312983963) 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, 156491984 + 156491985.

It is an arithmetic number, because the mean of its divisors is an integer number (156491985).

Almost surely, 2312983969 is an apocalyptic number.

It is an amenable number.

312983969 is a deficient number, since it is larger than the sum of its proper divisors (1).

312983969 is an equidigital number, since it uses as much as digits as its factorization.

312983969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 629856, while the sum is 50.

The square root of 312983969 is about 17691.3529443059. The cubic root of 312983969 is about 678.9545418526.

The spelling of 312983969 in words is "three hundred twelve million, nine hundred eighty-three thousand, nine hundred sixty-nine".