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312241441 is a prime number
BaseRepresentation
bin10010100111000…
…110110100100001
3210202112111201211
4102213012310201
51114413211231
650552230121
710511002621
oct2247066441
9722474654
10312241441
11150285686
128869b341
134c8c5965
142d67c881
151c62aeb1
hex129c6d21

312241441 has 2 divisors, whose sum is σ = 312241442. Its totient is φ = 312241440.

The previous prime is 312241427. The next prime is 312241453. The reversal of 312241441 is 144142213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158382225 + 153859216 = 12585^2 + 12404^2 .

It is a cyclic number.

It is not a de Polignac number, because 312241441 - 27 = 312241313 is a prime.

It is not a weakly prime, because it can be changed into another prime (312244441) 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, 156120720 + 156120721.

It is an arithmetic number, because the mean of its divisors is an integer number (156120721).

Almost surely, 2312241441 is an apocalyptic number.

It is an amenable number.

312241441 is a deficient number, since it is larger than the sum of its proper divisors (1).

312241441 is an equidigital number, since it uses as much as digits as its factorization.

312241441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 22.

The square root of 312241441 is about 17670.3548634429. The cubic root of 312241441 is about 678.4171959467.

Adding to 312241441 its reverse (144142213), we get a palindrome (456383654).

The spelling of 312241441 in words is "three hundred twelve million, two hundred forty-one thousand, four hundred forty-one".