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312041140181 is a prime number
BaseRepresentation
bin1001000101001110001…
…10011110111111010101
31002211102200110022210222
410202213012132333111
520103030012441211
6355203312324125
731354445633321
oct4424706367725
91084380408728
10312041140181
111103770a8121
1250585b43645
132356b668c24
14111623cc981
1581b48591db
hex48a719efd5

312041140181 has 2 divisors, whose sum is σ = 312041140182. Its totient is φ = 312041140180.

The previous prime is 312041140163. The next prime is 312041140219. The reversal of 312041140181 is 181041140213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238510140625 + 73530999556 = 488375^2 + 271166^2 .

It is an emirp because it is prime and its reverse (181041140213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312041140181 is a prime.

It is a super-2 number, since 2×3120411401812 (a number of 24 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 312041140181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312041140681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156020570090 + 156020570091.

It is an arithmetic number, because the mean of its divisors is an integer number (156020570091).

Almost surely, 2312041140181 is an apocalyptic number.

It is an amenable number.

312041140181 is a deficient number, since it is larger than the sum of its proper divisors (1).

312041140181 is an equidigital number, since it uses as much as digits as its factorization.

312041140181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 312041140181 its reverse (181041140213), we get a palindrome (493082280394).

The spelling of 312041140181 in words is "three hundred twelve billion, forty-one million, one hundred forty thousand, one hundred eighty-one".