Search a number
-
+
312211153 is a prime number
BaseRepresentation
bin10010100110111…
…111011011010001
3210202110222012001
4102212333123101
51114411224103
650551434001
710510515412
oct2246773321
9722428161
10312211153
11150264951
1288685901
134c8b4c37
142d671809
151c62201d
hex129bf6d1

312211153 has 2 divisors, whose sum is σ = 312211154. Its totient is φ = 312211152.

The previous prime is 312211147. The next prime is 312211157. The reversal of 312211153 is 351112213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182979729 + 129231424 = 13527^2 + 11368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312211153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312211153.

It is not a weakly prime, because it can be changed into another prime (312211157) 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, 156105576 + 156105577.

It is an arithmetic number, because the mean of its divisors is an integer number (156105577).

Almost surely, 2312211153 is an apocalyptic number.

It is an amenable number.

312211153 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211153 is an equidigital number, since it uses as much as digits as its factorization.

312211153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 312211153 is about 17669.4978140297. The cubic root of 312211153 is about 678.3952593278.

Adding to 312211153 its reverse (351112213), we get a palindrome (663323366).

The spelling of 312211153 in words is "three hundred twelve million, two hundred eleven thousand, one hundred fifty-three".