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1312323313 = 71733133317
BaseRepresentation
bin100111000111000…
…0111011011110001
310101110100221011011
41032032013123301
510141423321223
6334115350521
744343364330
oct11616073361
93343327134
101312323313
11613854a24
123075b2441
1317bb61192
14c640bd17
157a32680d
hex4e3876f1

1312323313 has 16 divisors (see below), whose sum is σ = 1592866944. Its totient is φ = 1055450880.

The previous prime is 1312323307. The next prime is 1312323319. The reversal of 1312323313 is 3133232131.

It is an interprime number because it is at equal distance from previous prime (1312323307) and next prime (1312323319).

It is a cyclic number.

It is not a de Polignac number, because 1312323313 - 29 = 1312322801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312323319) 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 in 15 ways as a sum of consecutive naturals, for example, 22731 + ... + 56047.

It is an arithmetic number, because the mean of its divisors is an integer number (99554184).

Almost surely, 21312323313 is an apocalyptic number.

It is an amenable number.

1312323313 is a deficient number, since it is larger than the sum of its proper divisors (280543631).

1312323313 is a wasteful number, since it uses less digits than its factorization.

1312323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672.

The product of its digits is 972, while the sum is 22.

The square root of 1312323313 is about 36226.0032711311. The cubic root of 1312323313 is about 1094.8306523482.

Adding to 1312323313 its reverse (3133232131), we get a palindrome (4445555444).

The spelling of 1312323313 in words is "one billion, three hundred twelve million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 7 17 119 331 2317 5627 33317 39389 233219 566389 3964723 11027927 77195489 187474759 1312323313