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313034113113041 is a prime number
BaseRepresentation
bin100011100101100111110111…
…1000111010101101111010001
31112001100202202120021210212202
41013023033233013111233101
5312012222330424104131
63025433515235132545
7122635653066102515
oct10713175707255721
91461322676253782
10313034113113041
1190819027084a21
122b138137144155
1310588cb462c008
145742d09262145
15262cb07c89bcb
hex11cb3ef1d5bd1

313034113113041 has 2 divisors, whose sum is σ = 313034113113042. Its totient is φ = 313034113113040.

The previous prime is 313034113112999. The next prime is 313034113113103. The reversal of 313034113113041 is 140311311430313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216858139018816 + 96175974094225 = 14726104^2 + 9806935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313034113113041 is a prime.

It is a super-4 number, since 4×3130341131130414 (a number of 59 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313034113112995 and 313034113113013.

It is not a weakly prime, because it can be changed into another prime (313034113113541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156517056556520 + 156517056556521.

It is an arithmetic number, because the mean of its divisors is an integer number (156517056556521).

Almost surely, 2313034113113041 is an apocalyptic number.

It is an amenable number.

313034113113041 is a deficient number, since it is larger than the sum of its proper divisors (1).

313034113113041 is an equidigital number, since it uses as much as digits as its factorization.

313034113113041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 313034113113041 its reverse (140311311430313), we get a palindrome (453345424543354).

The spelling of 313034113113041 in words is "three hundred thirteen trillion, thirty-four billion, one hundred thirteen million, one hundred thirteen thousand, forty-one".