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312142134140237 is a prime number
BaseRepresentation
bin100011011111001000100000…
…1000001100101110101001101
31111221012111102000111010102202
41012332101001001211311031
5311403114042314441422
63023512041122131245
7122514345032660102
oct10676210101456515
91457174360433382
10312142134140237
1190504810214625
122b0132a11b0b25
1310522b52868b5b
145711a8d258aa9
1526147eea0db92
hex11be441065d4d

312142134140237 has 2 divisors, whose sum is σ = 312142134140238. Its totient is φ = 312142134140236.

The previous prime is 312142134140231. The next prime is 312142134140279. The reversal of 312142134140237 is 732041431241213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166507899594436 + 145634234545801 = 12903794^2 + 12067901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312142134140237 is a prime.

It is a super-2 number, since 2×3121421341402372 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312142134140237.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312142134140231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156071067070118 + 156071067070119.

It is an arithmetic number, because the mean of its divisors is an integer number (156071067070119).

Almost surely, 2312142134140237 is an apocalyptic number.

It is an amenable number.

312142134140237 is a deficient number, since it is larger than the sum of its proper divisors (1).

312142134140237 is an equidigital number, since it uses as much as digits as its factorization.

312142134140237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 312142134140237 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-four million, one hundred forty thousand, two hundred thirty-seven".