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313034113113541 is a prime number
BaseRepresentation
bin100011100101100111110111…
…1000111010101110111000101
31112001100202202120021211120021
41013023033233013111313011
5312012222330424113131
63025433515235135141
7122635653066104131
oct10713175707256705
91461322676254507
10313034113113541
1190819027085336
122b1381371444b1
1310588cb462c301
145742d092623c1
15262cb07c89e11
hex11cb3ef1d5dc5

313034113113541 has 2 divisors, whose sum is σ = 313034113113542. Its totient is φ = 313034113113540.

The previous prime is 313034113113521. The next prime is 313034113113571. The reversal of 313034113113541 is 145311311430313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258879379293441 + 54154733820100 = 16089729^2 + 7358990^2 .

It is a cyclic number.

It is not a de Polignac number, because 313034113113541 - 213 = 313034113105349 is a prime.

It is a super-2 number, since 2×3130341131135412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313034113113497 and 313034113113506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313034113113521) 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, 156517056556770 + 156517056556771.

It is an arithmetic number, because the mean of its divisors is an integer number (156517056556771).

Almost surely, 2313034113113541 is an apocalyptic number.

It is an amenable number.

313034113113541 is a deficient number, since it is larger than the sum of its proper divisors (1).

313034113113541 is an equidigital number, since it uses as much as digits as its factorization.

313034113113541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

Adding to 313034113113541 its reverse (145311311430313), we get a palindrome (458345424543854).

The spelling of 313034113113541 in words is "three hundred thirteen trillion, thirty-four billion, one hundred thirteen million, one hundred thirteen thousand, five hundred forty-one".