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312311301121 is a prime number
BaseRepresentation
bin1001000101101110011…
…01000100010000000001
31002212010111210220221201
410202313031010100001
520104103143113441
6355250203021201
731364236154461
oct4426715042001
91085114726851
10312311301121
111104a5651026
125064050a801
13235b261a081
141118a235ba1
1581cd421c31
hex48b7344401

312311301121 has 2 divisors, whose sum is σ = 312311301122. Its totient is φ = 312311301120.

The previous prime is 312311301103. The next prime is 312311301143. The reversal of 312311301121 is 121103113213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254307395521 + 58003905600 = 504289^2 + 240840^2 .

It is a cyclic number.

It is not a de Polignac number, because 312311301121 - 223 = 312302912513 is a prime.

It is not a weakly prime, because it can be changed into another prime (312311301161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155650560 + 156155650561.

It is an arithmetic number, because the mean of its divisors is an integer number (156155650561).

Almost surely, 2312311301121 is an apocalyptic number.

It is an amenable number.

312311301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312311301121 is an equidigital number, since it uses as much as digits as its factorization.

312311301121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 312311301121 its reverse (121103113213), we get a palindrome (433414414334).

The spelling of 312311301121 in words is "three hundred twelve billion, three hundred eleven million, three hundred one thousand, one hundred twenty-one".