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1312409849 is a prime number
BaseRepresentation
bin100111000111001…
…1100100011111001
310101110112022212012
41032032130203321
510141434103344
6334121255305
744344204532
oct11616344371
93343468765
101312409849
11613903a43
12307634535
1317bb9169a
14c6431689
157a34229e
hex4e39c8f9

1312409849 has 2 divisors, whose sum is σ = 1312409850. Its totient is φ = 1312409848.

The previous prime is 1312409827. The next prime is 1312409887. The reversal of 1312409849 is 9489042131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1310802025 + 1607824 = 36205^2 + 1268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312409849 is a prime.

It is a super-3 number, since 3×13124098493 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1312409899) 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, 656204924 + 656204925.

It is an arithmetic number, because the mean of its divisors is an integer number (656204925).

Almost surely, 21312409849 is an apocalyptic number.

It is an amenable number.

1312409849 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312409849 is an equidigital number, since it uses as much as digits as its factorization.

1312409849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 1312409849 is about 36227.1976421031. The cubic root of 1312409849 is about 1094.8547165866.

The spelling of 1312409849 in words is "one billion, three hundred twelve million, four hundred nine thousand, eight hundred forty-nine".