Search a number
-
+
312212033269 is a prime number
BaseRepresentation
bin1001000101100010100…
…10011000111011110101
31002211212121000121001121
410202301102120323311
520103402240031034
6355232255223541
731361622332023
oct4426122307365
91084777017047
10312212033269
1111045460a684
1250613217bb1
1323597ba18b6
141117ad95713
1581c48641b4
hex48b1498ef5

312212033269 has 2 divisors, whose sum is σ = 312212033270. Its totient is φ = 312212033268.

The previous prime is 312212033219. The next prime is 312212033327. The reversal of 312212033269 is 962330212213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301139732644 + 11072300625 = 548762^2 + 105225^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212033269 - 215 = 312212000501 is a prime.

It is a super-2 number, since 2×3122120332692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312212033219) 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, 156106016634 + 156106016635.

It is an arithmetic number, because the mean of its divisors is an integer number (156106016635).

Almost surely, 2312212033269 is an apocalyptic number.

It is an amenable number.

312212033269 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212033269 is an equidigital number, since it uses as much as digits as its factorization.

312212033269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 312212033269 in words is "three hundred twelve billion, two hundred twelve million, thirty-three thousand, two hundred sixty-nine".