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312141421340341 is a prime number
BaseRepresentation
bin100011011111001000001011…
…0100010011110011010110101
31111221012102120100020010210121
41012332100112202132122311
5311403111112330342331
63023511442300251541
7122514321256165225
oct10676202642363265
91457172510203717
10312141421340341
11905044849224aa
122b013122540bb1
1310522a6ac97678
145711a2270c085
1526147ac15dc11
hex11be41689e6b5

312141421340341 has 2 divisors, whose sum is σ = 312141421340342. Its totient is φ = 312141421340340.

The previous prime is 312141421340293. The next prime is 312141421340383. The reversal of 312141421340341 is 143043124141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258481826116900 + 53659595223441 = 16077370^2 + 7325271^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141421340341 - 223 = 312141412951733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312141421340297 and 312141421340306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312141421347341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070710670170 + 156070710670171.

It is an arithmetic number, because the mean of its divisors is an integer number (156070710670171).

Almost surely, 2312141421340341 is an apocalyptic number.

It is an amenable number.

312141421340341 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141421340341 is an equidigital number, since it uses as much as digits as its factorization.

312141421340341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 312141421340341 its reverse (143043124141213), we get a palindrome (455184545481554).

The spelling of 312141421340341 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-one million, three hundred forty thousand, three hundred forty-one".