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312213353 is a prime number
BaseRepresentation
bin10010100110111…
…111111101101001
3210202111002012112
4102212333331221
51114411311403
650551452105
710510525004
oct2246777551
9722432175
10312213353
11150266571
1288687035
134c8b5c3a
142d67253b
151c6229d8
hex129bff69

312213353 has 2 divisors, whose sum is σ = 312213354. Its totient is φ = 312213352.

The previous prime is 312213329. The next prime is 312213359. The reversal of 312213353 is 353312213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285204544 + 27008809 = 16888^2 + 5197^2 .

It is a cyclic number.

It is not a de Polignac number, because 312213353 - 212 = 312209257 is a prime.

It is not a weakly prime, because it can be changed into another prime (312213359) 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, 156106676 + 156106677.

It is an arithmetic number, because the mean of its divisors is an integer number (156106677).

Almost surely, 2312213353 is an apocalyptic number.

It is an amenable number.

312213353 is a deficient number, since it is larger than the sum of its proper divisors (1).

312213353 is an equidigital number, since it uses as much as digits as its factorization.

312213353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 23.

The square root of 312213353 is about 17669.5600680945. The cubic root of 312213353 is about 678.3968527645.

Adding to 312213353 its reverse (353312213), we get a palindrome (665525566).

The spelling of 312213353 in words is "three hundred twelve million, two hundred thirteen thousand, three hundred fifty-three".