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311430241104041 is a prime number
BaseRepresentation
bin100011011001111101000000…
…0111001001011000010101001
31111211200102212222010220002202
41012303322000321023002221
5311304433113210312131
63022205024435505545
7122412043461004463
oct10663720071130251
91454612788126082
10311430241104041
119025a9071518a4
122ab193257582b5
13104a09904787b7
1456c943861b133
1526010367b3bcb
hex11b3e80e4b0a9

311430241104041 has 2 divisors, whose sum is σ = 311430241104042. Its totient is φ = 311430241104040.

The previous prime is 311430241104023. The next prime is 311430241104097. The reversal of 311430241104041 is 140401142034113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190323297484441 + 121106943619600 = 13795771^2 + 11004860^2 .

It is a cyclic number.

It is not a de Polignac number, because 311430241104041 - 230 = 311429167362217 is a prime.

It is a super-2 number, since 2×3114302411040412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311430241103995 and 311430241104013.

It is not a weakly prime, because it can be changed into another prime (311430241104001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715120552020 + 155715120552021.

It is an arithmetic number, because the mean of its divisors is an integer number (155715120552021).

Almost surely, 2311430241104041 is an apocalyptic number.

It is an amenable number.

311430241104041 is a deficient number, since it is larger than the sum of its proper divisors (1).

311430241104041 is an equidigital number, since it uses as much as digits as its factorization.

311430241104041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 311430241104041 its reverse (140401142034113), we get a palindrome (451831383138154).

The spelling of 311430241104041 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred forty-one million, one hundred four thousand, forty-one".