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1223112313 is a prime number
BaseRepresentation
bin100100011100111…
…0011011001111001
310011020111112200001
41020321303121321
510001104043223
6321211313001
742211166053
oct11071633171
93136445601
101223112313
11578462425
122a174b761
131665273c7
14b86288d3
15725a39ad
hex48e73679

1223112313 has 2 divisors, whose sum is σ = 1223112314. Its totient is φ = 1223112312.

The previous prime is 1223112301. The next prime is 1223112329. The reversal of 1223112313 is 3132113221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000267129 + 222845184 = 31627^2 + 14928^2 .

It is an emirp because it is prime and its reverse (3132113221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1223112313 - 213 = 1223104121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1223112343) 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, 611556156 + 611556157.

It is an arithmetic number, because the mean of its divisors is an integer number (611556157).

Almost surely, 21223112313 is an apocalyptic number.

It is an amenable number.

1223112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223112313 is an equidigital number, since it uses as much as digits as its factorization.

1223112313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 1223112313 is about 34973.0226460339. The cubic root of 1223112313 is about 1069.4375921759.

Adding to 1223112313 its reverse (3132113221), we get a palindrome (4355225534).

The spelling of 1223112313 in words is "one billion, two hundred twenty-three million, one hundred twelve thousand, three hundred thirteen".