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1312002017 is a prime number
BaseRepresentation
bin100111000110011…
…1000111111100001
310101102202121102022
41032030320333201
510141333031032
6334104431225
744340555524
oct11614707741
93342677368
101312002017
11613655597
12307478515
1317ba7ab71
14c6366bbb
157a2b1512
hex4e338fe1

1312002017 has 2 divisors, whose sum is σ = 1312002018. Its totient is φ = 1312002016.

The previous prime is 1312002001. The next prime is 1312002049. The reversal of 1312002017 is 7102002131.

1312002017 is nontrivially palindromic in base 13.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 917423521 + 394578496 = 30289^2 + 19864^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312002017 - 24 = 1312002001 is a prime.

It is a super-2 number, since 2×13120020172 = 3442698585224136578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312001986 and 1312002004.

It is not a weakly prime, because it can be changed into another prime (1312002077) 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, 656001008 + 656001009.

It is an arithmetic number, because the mean of its divisors is an integer number (656001009).

Almost surely, 21312002017 is an apocalyptic number.

It is an amenable number.

1312002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312002017 is an equidigital number, since it uses as much as digits as its factorization.

1312002017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1312002017 is about 36221.5683950875. The cubic root of 1312002017 is about 1094.7412959584.

Adding to 1312002017 its reverse (7102002131), we get a palindrome (8414004148).

The spelling of 1312002017 in words is "one billion, three hundred twelve million, two thousand, seventeen".