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312250231001 is a prime number
BaseRepresentation
bin1001000101100111001…
…00000110100011011001
31002211222020220020111102
410202303210012203121
520103442024343001
6355240142041145
731362565112462
oct4426344064331
91084866806442
10312250231001
1111047412a155
1250623b791b5
13235a2a86cc7
1411182099d69
1581c7dabe6b
hex48b39068d9

312250231001 has 2 divisors, whose sum is σ = 312250231002. Its totient is φ = 312250231000.

The previous prime is 312250230989. The next prime is 312250231043. The reversal of 312250231001 is 100132052213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200059398400 + 112190832601 = 447280^2 + 334949^2 .

It is a cyclic number.

It is not a de Polignac number, because 312250231001 - 226 = 312183122137 is a prime.

It is a super-3 number, since 3×3122502310013 (a number of 35 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 (312250231201) 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, 156125115500 + 156125115501.

It is an arithmetic number, because the mean of its divisors is an integer number (156125115501).

Almost surely, 2312250231001 is an apocalyptic number.

It is an amenable number.

312250231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312250231001 is an equidigital number, since it uses as much as digits as its factorization.

312250231001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 312250231001 its reverse (100132052213), we get a palindrome (412382283214).

The spelling of 312250231001 in words is "three hundred twelve billion, two hundred fifty million, two hundred thirty-one thousand, one".