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312003234073 is a prime number
BaseRepresentation
bin1001000101001001101…
…01111000100100011001
31002211100001010111102001
410202210311320210121
520102440311442243
6355155440041001
731353505506016
oct4424465704431
91084301114361
10312003234073
11110357767763
1250575303161
132356385648b
141115b36270d
1581b136ca4d
hex48a4d78919

312003234073 has 2 divisors, whose sum is σ = 312003234074. Its totient is φ = 312003234072.

The previous prime is 312003233959. The next prime is 312003234077. The reversal of 312003234073 is 370432300213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249517233289 + 62486000784 = 499517^2 + 249972^2 .

It is an emirp because it is prime and its reverse (370432300213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312003234073 - 237 = 174564280601 is a prime.

It is a super-2 number, since 2×3120032340732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312003234077) 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, 156001617036 + 156001617037.

It is an arithmetic number, because the mean of its divisors is an integer number (156001617037).

Almost surely, 2312003234073 is an apocalyptic number.

It is an amenable number.

312003234073 is a deficient number, since it is larger than the sum of its proper divisors (1).

312003234073 is an equidigital number, since it uses as much as digits as its factorization.

312003234073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 28.

Adding to 312003234073 its reverse (370432300213), we get a palindrome (682435534286).

The spelling of 312003234073 in words is "three hundred twelve billion, three million, two hundred thirty-four thousand, seventy-three".