Search a number
-
+
312226133 is a prime number
BaseRepresentation
bin10010100111000…
…011000101010101
3210202111201201212
4102213003011111
51114412214013
650552031205
710510610162
oct2247030525
9722451655
10312226133
1115027512a
1288692505
134c8bb9bb
142d677069
151c6266a8
hex129c3155

312226133 has 2 divisors, whose sum is σ = 312226134. Its totient is φ = 312226132.

The previous prime is 312226087. The next prime is 312226153. The reversal of 312226133 is 331622213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281501284 + 30724849 = 16778^2 + 5543^2 .

It is a cyclic number.

It is not a de Polignac number, because 312226133 - 212 = 312222037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312226099 and 312226108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312226153) 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, 156113066 + 156113067.

It is an arithmetic number, because the mean of its divisors is an integer number (156113067).

Almost surely, 2312226133 is an apocalyptic number.

It is an amenable number.

312226133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312226133 is an equidigital number, since it uses as much as digits as its factorization.

312226133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

The square root of 312226133 is about 17669.9217032787. The cubic root of 312226133 is about 678.4061090347.

Adding to 312226133 its reverse (331622213), we get a palindrome (643848346).

The spelling of 312226133 in words is "three hundred twelve million, two hundred twenty-six thousand, one hundred thirty-three".