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1040313361 is a prime number
BaseRepresentation
bin111110000000011…
…110110000010001
32200111112101122111
4332000132300101
54112310011421
6251121305321
734531342363
oct7600366021
92614471574
101040313361
1149425890a
12250495241
131376b3549
149c242d33
15614e5ee1
hex3e01ec11

1040313361 has 2 divisors, whose sum is σ = 1040313362. Its totient is φ = 1040313360.

The previous prime is 1040313359. The next prime is 1040313367. The reversal of 1040313361 is 1633130401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 836366400 + 203946961 = 28920^2 + 14281^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040313361 - 21 = 1040313359 is a prime.

Together with 1040313359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1040313367) 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, 520156680 + 520156681.

It is an arithmetic number, because the mean of its divisors is an integer number (520156681).

Almost surely, 21040313361 is an apocalyptic number.

It is an amenable number.

1040313361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040313361 is an equidigital number, since it uses as much as digits as its factorization.

1040313361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1040313361 is about 32253.8890833338. The cubic root of 1040313361 is about 1013.2611515004.

Adding to 1040313361 its reverse (1633130401), we get a palindrome (2673443762).

The spelling of 1040313361 in words is "one billion, forty million, three hundred thirteen thousand, three hundred sixty-one".